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Simplifying 3(x + 6) = 5(x + 4) Reorder the terms: 3(6 + x) = 5(x + 4) (6 * 3 + x * 3) = 5(x + 4) (18 + 3x) = 5(x + 4) Reorder the terms: 18 + 3x = 5(4 + x) 18 + 3x = (4 * 5 + x * 5) 18 + 3x = (20 + 5x) Solving 18 + 3x = 20 + 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. 18 + 3x + -5x = 20 + 5x + -5x Combine like terms: 3x + -5x = -2x 18 + -2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -2x = 20 + 0 18 + -2x = 20 Add '-18' to each side of the equation. 18 + -18 + -2x = 20 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 20 + -18 -2x = 20 + -18 Combine like terms: 20 + -18 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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