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Simplifying 3(4x + 1) = 3x + -24 Reorder the terms: 3(1 + 4x) = 3x + -24 (1 * 3 + 4x * 3) = 3x + -24 (3 + 12x) = 3x + -24 Reorder the terms: 3 + 12x = -24 + 3x Solving 3 + 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. 3 + 12x + -3x = -24 + 3x + -3x Combine like terms: 12x + -3x = 9x 3 + 9x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 9x = -24 + 0 3 + 9x = -24 Add '-3' to each side of the equation. 3 + -3 + 9x = -24 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = -24 + -3 9x = -24 + -3 Combine like terms: -24 + -3 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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