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Simplifying 2(x + 5) = 4 + -2(7 + x) Reorder the terms: 2(5 + x) = 4 + -2(7 + x) (5 * 2 + x * 2) = 4 + -2(7 + x) (10 + 2x) = 4 + -2(7 + x) 10 + 2x = 4 + (7 * -2 + x * -2) 10 + 2x = 4 + (-14 + -2x) Combine like terms: 4 + -14 = -10 10 + 2x = -10 + -2x Solving 10 + 2x = -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. 10 + 2x + 2x = -10 + -2x + 2x Combine like terms: 2x + 2x = 4x 10 + 4x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 4x = -10 + 0 10 + 4x = -10 Add '-10' to each side of the equation. 10 + -10 + 4x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = -10 + -10 4x = -10 + -10 Combine like terms: -10 + -10 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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