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Simplifying 3[x + -1(2 + -1x) * 2 + -1x] = 3(4 + -1x) Reorder the terms for easier multiplication: 3[x + -1 * 2(2 + -1x) + -1x] = 3(4 + -1x) Multiply -1 * 2 3[x + -2(2 + -1x) + -1x] = 3(4 + -1x) 3[x + (2 * -2 + -1x * -2) + -1x] = 3(4 + -1x) 3[x + (-4 + 2x) + -1x] = 3(4 + -1x) Reorder the terms: 3[-4 + x + 2x + -1x] = 3(4 + -1x) Combine like terms: x + 2x = 3x 3[-4 + 3x + -1x] = 3(4 + -1x) Combine like terms: 3x + -1x = 2x 3[-4 + 2x] = 3(4 + -1x) [-4 * 3 + 2x * 3] = 3(4 + -1x) [-12 + 6x] = 3(4 + -1x) -12 + 6x = (4 * 3 + -1x * 3) -12 + 6x = (12 + -3x) Solving -12 + 6x = 12 + -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. -12 + 6x + 3x = 12 + -3x + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 9x = 12 + 0 -12 + 9x = 12 Add '12' to each side of the equation. -12 + 12 + 9x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 12 + 12 9x = 12 + 12 Combine like terms: 12 + 12 = 24 9x = 24 Divide each side by '9'. x = 2.666666667 Simplifying x = 2.666666667
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