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Simplifying 4(3x + 2) = 5(3x + 1) Reorder the terms: 4(2 + 3x) = 5(3x + 1) (2 * 4 + 3x * 4) = 5(3x + 1) (8 + 12x) = 5(3x + 1) Reorder the terms: 8 + 12x = 5(1 + 3x) 8 + 12x = (1 * 5 + 3x * 5) 8 + 12x = (5 + 15x) Solving 8 + 12x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + 12x + -15x = 5 + 15x + -15x Combine like terms: 12x + -15x = -3x 8 + -3x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -3x = 5 + 0 8 + -3x = 5 Add '-8' to each side of the equation. 8 + -8 + -3x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 5 + -8 -3x = 5 + -8 Combine like terms: 5 + -8 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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