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Simplifying 3[1 + -3x] = 2[-4x + 7] [1 * 3 + -3x * 3] = 2[-4x + 7] [3 + -9x] = 2[-4x + 7] Reorder the terms: 3 + -9x = 2[7 + -4x] 3 + -9x = [7 * 2 + -4x * 2] 3 + -9x = [14 + -8x] Solving 3 + -9x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 3 + -9x + 8x = 14 + -8x + 8x Combine like terms: -9x + 8x = -1x 3 + -1x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + -1x = 14 + 0 3 + -1x = 14 Add '-3' to each side of the equation. 3 + -3 + -1x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 14 + -3 -1x = 14 + -3 Combine like terms: 14 + -3 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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