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Simplifying (51 + x) + -1(9 + x) = x Remove parenthesis around (51 + x) 51 + x + -1(9 + x) = x 51 + x + (9 * -1 + x * -1) = x 51 + x + (-9 + -1x) = x Reorder the terms: 51 + -9 + x + -1x = x Combine like terms: 51 + -9 = 42 42 + x + -1x = x Combine like terms: x + -1x = 0 42 + 0 = x 42 = x Solving 42 = 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. 42 + -1x = x + -1x Combine like terms: x + -1x = 0 42 + -1x = 0 Add '-42' to each side of the equation. 42 + -42 + -1x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 0 + -42 -1x = 0 + -42 Combine like terms: 0 + -42 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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