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Simplifying 13 + -2(x + 3) = 3(1 + -1x) Reorder the terms: 13 + -2(3 + x) = 3(1 + -1x) 13 + (3 * -2 + x * -2) = 3(1 + -1x) 13 + (-6 + -2x) = 3(1 + -1x) Combine like terms: 13 + -6 = 7 7 + -2x = 3(1 + -1x) 7 + -2x = (1 * 3 + -1x * 3) 7 + -2x = (3 + -3x) Solving 7 + -2x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + -2x + 3x = 3 + -3x + 3x Combine like terms: -2x + 3x = 1x 7 + 1x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 1x = 3 + 0 7 + 1x = 3 Add '-7' to each side of the equation. 7 + -7 + 1x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 3 + -7 1x = 3 + -7 Combine like terms: 3 + -7 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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