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Simplifying 3[4 + -2(x + -1)] = 3(x + 1) Reorder the terms: 3[4 + -2(-1 + x)] = 3(x + 1) 3[4 + (-1 * -2 + x * -2)] = 3(x + 1) 3[4 + (2 + -2x)] = 3(x + 1) Combine like terms: 4 + 2 = 6 3[6 + -2x] = 3(x + 1) [6 * 3 + -2x * 3] = 3(x + 1) [18 + -6x] = 3(x + 1) Reorder the terms: 18 + -6x = 3(1 + x) 18 + -6x = (1 * 3 + x * 3) 18 + -6x = (3 + 3x) Solving 18 + -6x = 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. 18 + -6x + -3x = 3 + 3x + -3x Combine like terms: -6x + -3x = -9x 18 + -9x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -9x = 3 + 0 18 + -9x = 3 Add '-18' to each side of the equation. 18 + -18 + -9x = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = 3 + -18 -9x = 3 + -18 Combine like terms: 3 + -18 = -15 -9x = -15 Divide each side by '-9'. x = 1.666666667 Simplifying x = 1.666666667
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