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Simplifying 6(x + 5) = 3(x + 15) Reorder the terms: 6(5 + x) = 3(x + 15) (5 * 6 + x * 6) = 3(x + 15) (30 + 6x) = 3(x + 15) Reorder the terms: 30 + 6x = 3(15 + x) 30 + 6x = (15 * 3 + x * 3) 30 + 6x = (45 + 3x) Solving 30 + 6x = 45 + 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. 30 + 6x + -3x = 45 + 3x + -3x Combine like terms: 6x + -3x = 3x 30 + 3x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 3x = 45 + 0 30 + 3x = 45 Add '-30' to each side of the equation. 30 + -30 + 3x = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = 45 + -30 3x = 45 + -30 Combine like terms: 45 + -30 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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