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Simplifying 2(x + 5) = 4(7 + x) Reorder the terms: 2(5 + x) = 4(7 + x) (5 * 2 + x * 2) = 4(7 + x) (10 + 2x) = 4(7 + x) 10 + 2x = (7 * 4 + x * 4) 10 + 2x = (28 + 4x) Solving 10 + 2x = 28 + 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 = 28 + 4x + -4x Combine like terms: 2x + -4x = -2x 10 + -2x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -2x = 28 + 0 10 + -2x = 28 Add '-10' to each side of the equation. 10 + -10 + -2x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 28 + -10 -2x = 28 + -10 Combine like terms: 28 + -10 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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