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Simplifying 4(3x + 5) = 3(x + 2) Reorder the terms: 4(5 + 3x) = 3(x + 2) (5 * 4 + 3x * 4) = 3(x + 2) (20 + 12x) = 3(x + 2) Reorder the terms: 20 + 12x = 3(2 + x) 20 + 12x = (2 * 3 + x * 3) 20 + 12x = (6 + 3x) Solving 20 + 12x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + 12x + -3x = 6 + 3x + -3x Combine like terms: 12x + -3x = 9x 20 + 9x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 9x = 6 + 0 20 + 9x = 6 Add '-20' to each side of the equation. 20 + -20 + 9x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 9x = 6 + -20 9x = 6 + -20 Combine like terms: 6 + -20 = -14 9x = -14 Divide each side by '9'. x = -1.555555556 Simplifying x = -1.555555556
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