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Simplifying 3(4 + -3x) = 5(3 + -2x) (4 * 3 + -3x * 3) = 5(3 + -2x) (12 + -9x) = 5(3 + -2x) 12 + -9x = (3 * 5 + -2x * 5) 12 + -9x = (15 + -10x) Solving 12 + -9x = 15 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 12 + -9x + 10x = 15 + -10x + 10x Combine like terms: -9x + 10x = 1x 12 + 1x = 15 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + 1x = 15 + 0 12 + 1x = 15 Add '-12' to each side of the equation. 12 + -12 + 1x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 15 + -12 1x = 15 + -12 Combine like terms: 15 + -12 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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