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Simplifying 4(3 + -2x) = 5(2x + 3) (3 * 4 + -2x * 4) = 5(2x + 3) (12 + -8x) = 5(2x + 3) Reorder the terms: 12 + -8x = 5(3 + 2x) 12 + -8x = (3 * 5 + 2x * 5) 12 + -8x = (15 + 10x) Solving 12 + -8x = 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 + -8x + -10x = 15 + 10x + -10x Combine like terms: -8x + -10x = -18x 12 + -18x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -18x = 15 + 0 12 + -18x = 15 Add '-12' to each side of the equation. 12 + -12 + -18x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = 15 + -12 -18x = 15 + -12 Combine like terms: 15 + -12 = 3 -18x = 3 Divide each side by '-18'. x = -0.1666666667 Simplifying x = -0.1666666667
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