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Simplifying 4(x + 3) = 2(x + 5) Reorder the terms: 4(3 + x) = 2(x + 5) (3 * 4 + x * 4) = 2(x + 5) (12 + 4x) = 2(x + 5) Reorder the terms: 12 + 4x = 2(5 + x) 12 + 4x = (5 * 2 + x * 2) 12 + 4x = (10 + 2x) Solving 12 + 4x = 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. 12 + 4x + -2x = 10 + 2x + -2x Combine like terms: 4x + -2x = 2x 12 + 2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 2x = 10 + 0 12 + 2x = 10 Add '-12' to each side of the equation. 12 + -12 + 2x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 10 + -12 2x = 10 + -12 Combine like terms: 10 + -12 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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