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Simplifying x + -1(76 + -1x) = 38 x + (76 * -1 + -1x * -1) = 38 x + (-76 + 1x) = 38 Reorder the terms: -76 + x + 1x = 38 Combine like terms: x + 1x = 2x -76 + 2x = 38 Solving -76 + 2x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '76' to each side of the equation. -76 + 76 + 2x = 38 + 76 Combine like terms: -76 + 76 = 0 0 + 2x = 38 + 76 2x = 38 + 76 Combine like terms: 38 + 76 = 114 2x = 114 Divide each side by '2'. x = 57 Simplifying x = 57
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