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Simplifying 2(x + -5) + -6 = 7(x + -1) + -2x Reorder the terms: 2(-5 + x) + -6 = 7(x + -1) + -2x (-5 * 2 + x * 2) + -6 = 7(x + -1) + -2x (-10 + 2x) + -6 = 7(x + -1) + -2x Reorder the terms: -10 + -6 + 2x = 7(x + -1) + -2x Combine like terms: -10 + -6 = -16 -16 + 2x = 7(x + -1) + -2x Reorder the terms: -16 + 2x = 7(-1 + x) + -2x -16 + 2x = (-1 * 7 + x * 7) + -2x -16 + 2x = (-7 + 7x) + -2x Combine like terms: 7x + -2x = 5x -16 + 2x = -7 + 5x Solving -16 + 2x = -7 + 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. -16 + 2x + -5x = -7 + 5x + -5x Combine like terms: 2x + -5x = -3x -16 + -3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + -3x = -7 + 0 -16 + -3x = -7 Add '16' to each side of the equation. -16 + 16 + -3x = -7 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = -7 + 16 -3x = -7 + 16 Combine like terms: -7 + 16 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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