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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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