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Simplifying 4(2 + -3x) = 3(x + -9) (2 * 4 + -3x * 4) = 3(x + -9) (8 + -12x) = 3(x + -9) Reorder the terms: 8 + -12x = 3(-9 + x) 8 + -12x = (-9 * 3 + x * 3) 8 + -12x = (-27 + 3x) Solving 8 + -12x = -27 + 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. 8 + -12x + -3x = -27 + 3x + -3x Combine like terms: -12x + -3x = -15x 8 + -15x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -15x = -27 + 0 8 + -15x = -27 Add '-8' to each side of the equation. 8 + -8 + -15x = -27 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = -27 + -8 -15x = -27 + -8 Combine like terms: -27 + -8 = -35 -15x = -35 Divide each side by '-15'. x = 2.333333333 Simplifying x = 2.333333333
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