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Simplifying -2x + 2 = 2(x + 5) Reorder the terms: 2 + -2x = 2(x + 5) Reorder the terms: 2 + -2x = 2(5 + x) 2 + -2x = (5 * 2 + x * 2) 2 + -2x = (10 + 2x) Solving 2 + -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. 2 + -2x + -2x = 10 + 2x + -2x Combine like terms: -2x + -2x = -4x 2 + -4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -4x = 10 + 0 2 + -4x = 10 Add '-2' to each side of the equation. 2 + -2 + -4x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 10 + -2 -4x = 10 + -2 Combine like terms: 10 + -2 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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