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Simplifying 100 = x + (x + -42) Reorder the terms: 100 = x + (-42 + x) Remove parenthesis around (-42 + x) 100 = x + -42 + x Reorder the terms: 100 = -42 + x + x Combine like terms: x + x = 2x 100 = -42 + 2x Solving 100 = -42 + 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. 100 + -2x = -42 + 2x + -2x Combine like terms: 2x + -2x = 0 100 + -2x = -42 + 0 100 + -2x = -42 Add '-100' to each side of the equation. 100 + -100 + -2x = -42 + -100 Combine like terms: 100 + -100 = 0 0 + -2x = -42 + -100 -2x = -42 + -100 Combine like terms: -42 + -100 = -142 -2x = -142 Divide each side by '-2'. x = 71 Simplifying x = 71
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