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