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Simplifying (8.5 + -2x) + (5x + -1.1) + (7x + -0.3) = (6X + -0.6) + (5x + 0.2) + (9 + -0.5x) Remove parenthesis around (8.5 + -2x) 8.5 + -2x + (5x + -1.1) + (7x + -0.3) = (6X + -0.6) + (5x + 0.2) + (9 + -0.5x) Reorder the terms: 8.5 + -2x + (-1.1 + 5x) + (7x + -0.3) = (6X + -0.6) + (5x + 0.2) + (9 + -0.5x) Remove parenthesis around (-1.1 + 5x) 8.5 + -2x + -1.1 + 5x + (7x + -0.3) = (6X + -0.6) + (5x + 0.2) + (9 + -0.5x) Reorder the terms: 8.5 + -2x + -1.1 + 5x + (-0.3 + 7x) = (6X + -0.6) + (5x + 0.2) + (9 + -0.5x) Remove parenthesis around (-0.3 + 7x) 8.5 + -2x + -1.1 + 5x + -0.3 + 7x = (6X + -0.6) + (5x + 0.2) + (9 + -0.5x) Reorder the terms: 8.5 + -1.1 + -0.3 + -2x + 5x + 7x = (6X + -0.6) + (5x + 0.2) + (9 + -0.5x) Combine like terms: 8.5 + -1.1 = 7.4 7.4 + -0.3 + -2x + 5x + 7x = (6X + -0.6) + (5x + 0.2) + (9 + -0.5x) Combine like terms: 7.4 + -0.3 = 7.1 7.1 + -2x + 5x + 7x = (6X + -0.6) + (5x + 0.2) + (9 + -0.5x) Combine like terms: -2x + 5x = 3x 7.1 + 3x + 7x = (6X + -0.6) + (5x + 0.2) + (9 + -0.5x) Combine like terms: 3x + 7x = 10x 7.1 + 10x = (6X + -0.6) + (5x + 0.2) + (9 + -0.5x) Reorder the terms: 7.1 + 10x = (-0.6 + 6X) + (5x + 0.2) + (9 + -0.5x) Remove parenthesis around (-0.6 + 6X) 7.1 + 10x = -0.6 + 6X + (5x + 0.2) + (9 + -0.5x) Reorder the terms: 7.1 + 10x = -0.6 + 6X + (0.2 + 5x) + (9 + -0.5x) Remove parenthesis around (0.2 + 5x) 7.1 + 10x = -0.6 + 6X + 0.2 + 5x + (9 + -0.5x) Remove parenthesis around (9 + -0.5x) 7.1 + 10x = -0.6 + 6X + 0.2 + 5x + 9 + -0.5x Reorder the terms: 7.1 + 10x = -0.6 + 0.2 + 9 + 6X + 5x + -0.5x Combine like terms: -0.6 + 0.2 = -0.4 7.1 + 10x = -0.4 + 9 + 6X + 5x + -0.5x Combine like terms: -0.4 + 9 = 8.6 7.1 + 10x = 8.6 + 6X + 5x + -0.5x Combine like terms: 5x + -0.5x = 4.5x 7.1 + 10x = 8.6 + 6X + 4.5x Solving 7.1 + 10x = 8.6 + 6X + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 7.1 + 10x + -4.5x = 8.6 + 6X + 4.5x + -4.5x Combine like terms: 10x + -4.5x = 5.5x 7.1 + 5.5x = 8.6 + 6X + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 7.1 + 5.5x = 8.6 + 6X + 0.0 7.1 + 5.5x = 8.6 + 6X Add '-7.1' to each side of the equation. 7.1 + -7.1 + 5.5x = 8.6 + -7.1 + 6X Combine like terms: 7.1 + -7.1 = 0.0 0.0 + 5.5x = 8.6 + -7.1 + 6X 5.5x = 8.6 + -7.1 + 6X Combine like terms: 8.6 + -7.1 = 1.5 5.5x = 1.5 + 6X Divide each side by '5.5'. x = 0.2727272727 + 1.090909091X Simplifying x = 0.2727272727 + 1.090909091X
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