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Simplifying 7 + -1(x + 5) = 2(x + -1) Reorder the terms: 7 + -1(5 + x) = 2(x + -1) 7 + (5 * -1 + x * -1) = 2(x + -1) 7 + (-5 + -1x) = 2(x + -1) Combine like terms: 7 + -5 = 2 2 + -1x = 2(x + -1) Reorder the terms: 2 + -1x = 2(-1 + x) 2 + -1x = (-1 * 2 + x * 2) 2 + -1x = (-2 + 2x) Solving 2 + -1x = -2 + 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. 2 + -1x + -2x = -2 + 2x + -2x Combine like terms: -1x + -2x = -3x 2 + -3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -3x = -2 + 0 2 + -3x = -2 Add '-2' to each side of the equation. 2 + -2 + -3x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -2 + -2 -3x = -2 + -2 Combine like terms: -2 + -2 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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