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Simplifying (5 + -3x) + -1(0.4x + 6) = (8x + 11) + -1(3x + -6) Remove parenthesis around (5 + -3x) 5 + -3x + -1(0.4x + 6) = (8x + 11) + -1(3x + -6) Reorder the terms: 5 + -3x + -1(6 + 0.4x) = (8x + 11) + -1(3x + -6) 5 + -3x + (6 * -1 + 0.4x * -1) = (8x + 11) + -1(3x + -6) 5 + -3x + (-6 + -0.4x) = (8x + 11) + -1(3x + -6) Reorder the terms: 5 + -6 + -3x + -0.4x = (8x + 11) + -1(3x + -6) Combine like terms: 5 + -6 = -1 -1 + -3x + -0.4x = (8x + 11) + -1(3x + -6) Combine like terms: -3x + -0.4x = -3.4x -1 + -3.4x = (8x + 11) + -1(3x + -6) Reorder the terms: -1 + -3.4x = (11 + 8x) + -1(3x + -6) Remove parenthesis around (11 + 8x) -1 + -3.4x = 11 + 8x + -1(3x + -6) Reorder the terms: -1 + -3.4x = 11 + 8x + -1(-6 + 3x) -1 + -3.4x = 11 + 8x + (-6 * -1 + 3x * -1) -1 + -3.4x = 11 + 8x + (6 + -3x) Reorder the terms: -1 + -3.4x = 11 + 6 + 8x + -3x Combine like terms: 11 + 6 = 17 -1 + -3.4x = 17 + 8x + -3x Combine like terms: 8x + -3x = 5x -1 + -3.4x = 17 + 5x Solving -1 + -3.4x = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + -3.4x + -5x = 17 + 5x + -5x Combine like terms: -3.4x + -5x = -8.4x -1 + -8.4x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -8.4x = 17 + 0 -1 + -8.4x = 17 Add '1' to each side of the equation. -1 + 1 + -8.4x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -8.4x = 17 + 1 -8.4x = 17 + 1 Combine like terms: 17 + 1 = 18 -8.4x = 18 Divide each side by '-8.4'. x = -2.142857143 Simplifying x = -2.142857143
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