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