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Simplifying 3(4x + 3) = 2x + 5(3 + -1x) + 2 Reorder the terms: 3(3 + 4x) = 2x + 5(3 + -1x) + 2 (3 * 3 + 4x * 3) = 2x + 5(3 + -1x) + 2 (9 + 12x) = 2x + 5(3 + -1x) + 2 9 + 12x = 2x + (3 * 5 + -1x * 5) + 2 9 + 12x = 2x + (15 + -5x) + 2 Reorder the terms: 9 + 12x = 15 + 2 + 2x + -5x Combine like terms: 15 + 2 = 17 9 + 12x = 17 + 2x + -5x Combine like terms: 2x + -5x = -3x 9 + 12x = 17 + -3x Solving 9 + 12x = 17 + -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. 9 + 12x + 3x = 17 + -3x + 3x Combine like terms: 12x + 3x = 15x 9 + 15x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 15x = 17 + 0 9 + 15x = 17 Add '-9' to each side of the equation. 9 + -9 + 15x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 15x = 17 + -9 15x = 17 + -9 Combine like terms: 17 + -9 = 8 15x = 8 Divide each side by '15'. x = 0.5333333333 Simplifying x = 0.5333333333
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