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Simplifying 5 + -2(x + -1) = 3(2 + -1x) + 7 Reorder the terms: 5 + -2(-1 + x) = 3(2 + -1x) + 7 5 + (-1 * -2 + x * -2) = 3(2 + -1x) + 7 5 + (2 + -2x) = 3(2 + -1x) + 7 Combine like terms: 5 + 2 = 7 7 + -2x = 3(2 + -1x) + 7 7 + -2x = (2 * 3 + -1x * 3) + 7 7 + -2x = (6 + -3x) + 7 Reorder the terms: 7 + -2x = 6 + 7 + -3x Combine like terms: 6 + 7 = 13 7 + -2x = 13 + -3x Solving 7 + -2x = 13 + -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 = 13 + -3x + 3x Combine like terms: -2x + 3x = 1x 7 + 1x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 1x = 13 + 0 7 + 1x = 13 Add '-7' to each side of the equation. 7 + -7 + 1x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 13 + -7 1x = 13 + -7 Combine like terms: 13 + -7 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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