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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 = -17x 3 + -17x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -17x = 14 + 0 3 + -17x = 14 Add '-3' to each side of the equation. 3 + -3 + -17x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -17x = 14 + -3 -17x = 14 + -3 Combine like terms: 14 + -3 = 11 -17x = 11 Divide each side by '-17'. x = -0.6470588235 Simplifying x = -0.6470588235
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