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Simplifying 2(2x + -2) = 2(x + 7) Reorder the terms: 2(-2 + 2x) = 2(x + 7) (-2 * 2 + 2x * 2) = 2(x + 7) (-4 + 4x) = 2(x + 7) Reorder the terms: -4 + 4x = 2(7 + x) -4 + 4x = (7 * 2 + x * 2) -4 + 4x = (14 + 2x) Solving -4 + 4x = 14 + 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. -4 + 4x + -2x = 14 + 2x + -2x Combine like terms: 4x + -2x = 2x -4 + 2x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 2x = 14 + 0 -4 + 2x = 14 Add '4' to each side of the equation. -4 + 4 + 2x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 14 + 4 2x = 14 + 4 Combine like terms: 14 + 4 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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