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