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Simplifying 5(x + 2) = 7(x + -2) Reorder the terms: 5(2 + x) = 7(x + -2) (2 * 5 + x * 5) = 7(x + -2) (10 + 5x) = 7(x + -2) Reorder the terms: 10 + 5x = 7(-2 + x) 10 + 5x = (-2 * 7 + x * 7) 10 + 5x = (-14 + 7x) Solving 10 + 5x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 5x + -7x = -14 + 7x + -7x Combine like terms: 5x + -7x = -2x 10 + -2x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -2x = -14 + 0 10 + -2x = -14 Add '-10' to each side of the equation. 10 + -10 + -2x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -14 + -10 -2x = -14 + -10 Combine like terms: -14 + -10 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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