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Simplifying 2(x + 3) = 4(x + 5) Reorder the terms: 2(3 + x) = 4(x + 5) (3 * 2 + x * 2) = 4(x + 5) (6 + 2x) = 4(x + 5) Reorder the terms: 6 + 2x = 4(5 + x) 6 + 2x = (5 * 4 + x * 4) 6 + 2x = (20 + 4x) Solving 6 + 2x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 2x + -4x = 20 + 4x + -4x Combine like terms: 2x + -4x = -2x 6 + -2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -2x = 20 + 0 6 + -2x = 20 Add '-6' to each side of the equation. 6 + -6 + -2x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 20 + -6 -2x = 20 + -6 Combine like terms: 20 + -6 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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