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Simplifying (10x + 6) + -1(7x + -4) = (7x + -4) + -1(5x + 2) Reorder the terms: (6 + 10x) + -1(7x + -4) = (7x + -4) + -1(5x + 2) Remove parenthesis around (6 + 10x) 6 + 10x + -1(7x + -4) = (7x + -4) + -1(5x + 2) Reorder the terms: 6 + 10x + -1(-4 + 7x) = (7x + -4) + -1(5x + 2) 6 + 10x + (-4 * -1 + 7x * -1) = (7x + -4) + -1(5x + 2) 6 + 10x + (4 + -7x) = (7x + -4) + -1(5x + 2) Reorder the terms: 6 + 4 + 10x + -7x = (7x + -4) + -1(5x + 2) Combine like terms: 6 + 4 = 10 10 + 10x + -7x = (7x + -4) + -1(5x + 2) Combine like terms: 10x + -7x = 3x 10 + 3x = (7x + -4) + -1(5x + 2) Reorder the terms: 10 + 3x = (-4 + 7x) + -1(5x + 2) Remove parenthesis around (-4 + 7x) 10 + 3x = -4 + 7x + -1(5x + 2) Reorder the terms: 10 + 3x = -4 + 7x + -1(2 + 5x) 10 + 3x = -4 + 7x + (2 * -1 + 5x * -1) 10 + 3x = -4 + 7x + (-2 + -5x) Reorder the terms: 10 + 3x = -4 + -2 + 7x + -5x Combine like terms: -4 + -2 = -6 10 + 3x = -6 + 7x + -5x Combine like terms: 7x + -5x = 2x 10 + 3x = -6 + 2x Solving 10 + 3x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 3x + -2x = -6 + 2x + -2x Combine like terms: 3x + -2x = 1x 10 + 1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 1x = -6 + 0 10 + 1x = -6 Add '-10' to each side of the equation. 10 + -10 + 1x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -6 + -10 1x = -6 + -10 Combine like terms: -6 + -10 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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