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Simplifying 4(3x + 2) = 5(2x + 1) Reorder the terms: 4(2 + 3x) = 5(2x + 1) (2 * 4 + 3x * 4) = 5(2x + 1) (8 + 12x) = 5(2x + 1) Reorder the terms: 8 + 12x = 5(1 + 2x) 8 + 12x = (1 * 5 + 2x * 5) 8 + 12x = (5 + 10x) Solving 8 + 12x = 5 + 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. 8 + 12x + -10x = 5 + 10x + -10x Combine like terms: 12x + -10x = 2x 8 + 2x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + 2x = 5 + 0 8 + 2x = 5 Add '-8' to each side of the equation. 8 + -8 + 2x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 5 + -8 2x = 5 + -8 Combine like terms: 5 + -8 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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