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Simplifying 2(x + -5) + 6 = 7(x + -1) + -2(x + -6) Reorder the terms: 2(-5 + x) + 6 = 7(x + -1) + -2(x + -6) (-5 * 2 + x * 2) + 6 = 7(x + -1) + -2(x + -6) (-10 + 2x) + 6 = 7(x + -1) + -2(x + -6) Reorder the terms: -10 + 6 + 2x = 7(x + -1) + -2(x + -6) Combine like terms: -10 + 6 = -4 -4 + 2x = 7(x + -1) + -2(x + -6) Reorder the terms: -4 + 2x = 7(-1 + x) + -2(x + -6) -4 + 2x = (-1 * 7 + x * 7) + -2(x + -6) -4 + 2x = (-7 + 7x) + -2(x + -6) Reorder the terms: -4 + 2x = -7 + 7x + -2(-6 + x) -4 + 2x = -7 + 7x + (-6 * -2 + x * -2) -4 + 2x = -7 + 7x + (12 + -2x) Reorder the terms: -4 + 2x = -7 + 12 + 7x + -2x Combine like terms: -7 + 12 = 5 -4 + 2x = 5 + 7x + -2x Combine like terms: 7x + -2x = 5x -4 + 2x = 5 + 5x Solving -4 + 2x = 5 + 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. -4 + 2x + -5x = 5 + 5x + -5x Combine like terms: 2x + -5x = -3x -4 + -3x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -3x = 5 + 0 -4 + -3x = 5 Add '4' to each side of the equation. -4 + 4 + -3x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 5 + 4 -3x = 5 + 4 Combine like terms: 5 + 4 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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