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Simplifying 5 + -1(x + 3) = 1 + -2(7 + x) Reorder the terms: 5 + -1(3 + x) = 1 + -2(7 + x) 5 + (3 * -1 + x * -1) = 1 + -2(7 + x) 5 + (-3 + -1x) = 1 + -2(7 + x) Combine like terms: 5 + -3 = 2 2 + -1x = 1 + -2(7 + x) 2 + -1x = 1 + (7 * -2 + x * -2) 2 + -1x = 1 + (-14 + -2x) Combine like terms: 1 + -14 = -13 2 + -1x = -13 + -2x Solving 2 + -1x = -13 + -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 = -13 + -2x + 2x Combine like terms: -1x + 2x = 1x 2 + 1x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 1x = -13 + 0 2 + 1x = -13 Add '-2' to each side of the equation. 2 + -2 + 1x = -13 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -13 + -2 1x = -13 + -2 Combine like terms: -13 + -2 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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