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Simplifying 2(2x + -13) = x + 7 Reorder the terms: 2(-13 + 2x) = x + 7 (-13 * 2 + 2x * 2) = x + 7 (-26 + 4x) = x + 7 Reorder the terms: -26 + 4x = 7 + x Solving -26 + 4x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -26 + 4x + -1x = 7 + x + -1x Combine like terms: 4x + -1x = 3x -26 + 3x = 7 + x + -1x Combine like terms: x + -1x = 0 -26 + 3x = 7 + 0 -26 + 3x = 7 Add '26' to each side of the equation. -26 + 26 + 3x = 7 + 26 Combine like terms: -26 + 26 = 0 0 + 3x = 7 + 26 3x = 7 + 26 Combine like terms: 7 + 26 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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