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Simplifying 3(1x + 6) = 5(1x + 2) Reorder the terms: 3(6 + 1x) = 5(1x + 2) (6 * 3 + 1x * 3) = 5(1x + 2) (18 + 3x) = 5(1x + 2) Reorder the terms: 18 + 3x = 5(2 + 1x) 18 + 3x = (2 * 5 + 1x * 5) 18 + 3x = (10 + 5x) Solving 18 + 3x = 10 + 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 = 10 + 5x + -5x Combine like terms: 3x + -5x = -2x 18 + -2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -2x = 10 + 0 18 + -2x = 10 Add '-18' to each side of the equation. 18 + -18 + -2x = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 10 + -18 -2x = 10 + -18 Combine like terms: 10 + -18 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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