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Simplifying 7(x + -1) + -2(x + -6) = 2(x + -5) Reorder the terms: 7(-1 + x) + -2(x + -6) = 2(x + -5) (-1 * 7 + x * 7) + -2(x + -6) = 2(x + -5) (-7 + 7x) + -2(x + -6) = 2(x + -5) Reorder the terms: -7 + 7x + -2(-6 + x) = 2(x + -5) -7 + 7x + (-6 * -2 + x * -2) = 2(x + -5) -7 + 7x + (12 + -2x) = 2(x + -5) Reorder the terms: -7 + 12 + 7x + -2x = 2(x + -5) Combine like terms: -7 + 12 = 5 5 + 7x + -2x = 2(x + -5) Combine like terms: 7x + -2x = 5x 5 + 5x = 2(x + -5) Reorder the terms: 5 + 5x = 2(-5 + x) 5 + 5x = (-5 * 2 + x * 2) 5 + 5x = (-10 + 2x) Solving 5 + 5x = -10 + 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. 5 + 5x + -2x = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x 5 + 3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 3x = -10 + 0 5 + 3x = -10 Add '-5' to each side of the equation. 5 + -5 + 3x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -10 + -5 3x = -10 + -5 Combine like terms: -10 + -5 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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