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Simplifying 2(2x + -2) + 2(10 + -1x) = 26 Reorder the terms: 2(-2 + 2x) + 2(10 + -1x) = 26 (-2 * 2 + 2x * 2) + 2(10 + -1x) = 26 (-4 + 4x) + 2(10 + -1x) = 26 -4 + 4x + (10 * 2 + -1x * 2) = 26 -4 + 4x + (20 + -2x) = 26 Reorder the terms: -4 + 20 + 4x + -2x = 26 Combine like terms: -4 + 20 = 16 16 + 4x + -2x = 26 Combine like terms: 4x + -2x = 2x 16 + 2x = 26 Solving 16 + 2x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2x = 26 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 26 + -16 2x = 26 + -16 Combine like terms: 26 + -16 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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