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Simplifying 4(3x + 5) = 2(x + 15) Reorder the terms: 4(5 + 3x) = 2(x + 15) (5 * 4 + 3x * 4) = 2(x + 15) (20 + 12x) = 2(x + 15) Reorder the terms: 20 + 12x = 2(15 + x) 20 + 12x = (15 * 2 + x * 2) 20 + 12x = (30 + 2x) Solving 20 + 12x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + 12x + -2x = 30 + 2x + -2x Combine like terms: 12x + -2x = 10x 20 + 10x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 10x = 30 + 0 20 + 10x = 30 Add '-20' to each side of the equation. 20 + -20 + 10x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 30 + -20 10x = 30 + -20 Combine like terms: 30 + -20 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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