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