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Simplifying 2(x + 5) = 4(x + 6) Reorder the terms: 2(5 + x) = 4(x + 6) (5 * 2 + x * 2) = 4(x + 6) (10 + 2x) = 4(x + 6) Reorder the terms: 10 + 2x = 4(6 + x) 10 + 2x = (6 * 4 + x * 4) 10 + 2x = (24 + 4x) Solving 10 + 2x = 24 + 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. 10 + 2x + -4x = 24 + 4x + -4x Combine like terms: 2x + -4x = -2x 10 + -2x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -2x = 24 + 0 10 + -2x = 24 Add '-10' to each side of the equation. 10 + -10 + -2x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 24 + -10 -2x = 24 + -10 Combine like terms: 24 + -10 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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