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Simplifying 3(x + 2) = 5(x + 6) Reorder the terms: 3(2 + x) = 5(x + 6) (2 * 3 + x * 3) = 5(x + 6) (6 + 3x) = 5(x + 6) Reorder the terms: 6 + 3x = 5(6 + x) 6 + 3x = (6 * 5 + x * 5) 6 + 3x = (30 + 5x) Solving 6 + 3x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 3x + -5x = 30 + 5x + -5x Combine like terms: 3x + -5x = -2x 6 + -2x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -2x = 30 + 0 6 + -2x = 30 Add '-6' to each side of the equation. 6 + -6 + -2x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 30 + -6 -2x = 30 + -6 Combine like terms: 30 + -6 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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