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Simplifying 5[12 + -1(6 + -3x) + -2x] = 2(1 + -1x) 5[12 + (6 * -1 + -3x * -1) + -2x] = 2(1 + -1x) 5[12 + (-6 + 3x) + -2x] = 2(1 + -1x) Combine like terms: 12 + -6 = 6 5[6 + 3x + -2x] = 2(1 + -1x) Combine like terms: 3x + -2x = 1x 5[6 + 1x] = 2(1 + -1x) [6 * 5 + 1x * 5] = 2(1 + -1x) [30 + 5x] = 2(1 + -1x) 30 + 5x = (1 * 2 + -1x * 2) 30 + 5x = (2 + -2x) Solving 30 + 5x = 2 + -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. 30 + 5x + 2x = 2 + -2x + 2x Combine like terms: 5x + 2x = 7x 30 + 7x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 7x = 2 + 0 30 + 7x = 2 Add '-30' to each side of the equation. 30 + -30 + 7x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 2 + -30 7x = 2 + -30 Combine like terms: 2 + -30 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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