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Simplifying 3(4x + 3) = 2x + -5(3 + -1x) + 12 Reorder the terms: 3(3 + 4x) = 2x + -5(3 + -1x) + 12 (3 * 3 + 4x * 3) = 2x + -5(3 + -1x) + 12 (9 + 12x) = 2x + -5(3 + -1x) + 12 9 + 12x = 2x + (3 * -5 + -1x * -5) + 12 9 + 12x = 2x + (-15 + 5x) + 12 Reorder the terms: 9 + 12x = -15 + 12 + 2x + 5x Combine like terms: -15 + 12 = -3 9 + 12x = -3 + 2x + 5x Combine like terms: 2x + 5x = 7x 9 + 12x = -3 + 7x Solving 9 + 12x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 9 + 12x + -7x = -3 + 7x + -7x Combine like terms: 12x + -7x = 5x 9 + 5x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + 5x = -3 + 0 9 + 5x = -3 Add '-9' to each side of the equation. 9 + -9 + 5x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = -3 + -9 5x = -3 + -9 Combine like terms: -3 + -9 = -12 5x = -12 Divide each side by '5'. x = -2.4 Simplifying x = -2.4
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