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Simplifying 3(4x + 3) = 5(x + -2) + 15 Reorder the terms: 3(3 + 4x) = 5(x + -2) + 15 (3 * 3 + 4x * 3) = 5(x + -2) + 15 (9 + 12x) = 5(x + -2) + 15 Reorder the terms: 9 + 12x = 5(-2 + x) + 15 9 + 12x = (-2 * 5 + x * 5) + 15 9 + 12x = (-10 + 5x) + 15 Reorder the terms: 9 + 12x = -10 + 15 + 5x Combine like terms: -10 + 15 = 5 9 + 12x = 5 + 5x Solving 9 + 12x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 12x + -5x = 5 + 5x + -5x Combine like terms: 12x + -5x = 7x 9 + 7x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 7x = 5 + 0 9 + 7x = 5 Add '-9' to each side of the equation. 9 + -9 + 7x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 5 + -9 7x = 5 + -9 Combine like terms: 5 + -9 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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