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Simplifying 4(3x + 2) = 3(x + -5) + -9 Reorder the terms: 4(2 + 3x) = 3(x + -5) + -9 (2 * 4 + 3x * 4) = 3(x + -5) + -9 (8 + 12x) = 3(x + -5) + -9 Reorder the terms: 8 + 12x = 3(-5 + x) + -9 8 + 12x = (-5 * 3 + x * 3) + -9 8 + 12x = (-15 + 3x) + -9 Reorder the terms: 8 + 12x = -15 + -9 + 3x Combine like terms: -15 + -9 = -24 8 + 12x = -24 + 3x Solving 8 + 12x = -24 + 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 = -24 + 3x + -3x Combine like terms: 12x + -3x = 9x 8 + 9x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 9x = -24 + 0 8 + 9x = -24 Add '-8' to each side of the equation. 8 + -8 + 9x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = -24 + -8 9x = -24 + -8 Combine like terms: -24 + -8 = -32 9x = -32 Divide each side by '9'. x = -3.555555556 Simplifying x = -3.555555556
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