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Simplifying 42 + -1(2x + -9) + 17 = 84 Reorder the terms: 42 + -1(-9 + 2x) + 17 = 84 42 + (-9 * -1 + 2x * -1) + 17 = 84 42 + (9 + -2x) + 17 = 84 Reorder the terms: 42 + 9 + 17 + -2x = 84 Combine like terms: 42 + 9 = 51 51 + 17 + -2x = 84 Combine like terms: 51 + 17 = 68 68 + -2x = 84 Solving 68 + -2x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + -2x = 84 + -68 Combine like terms: 68 + -68 = 0 0 + -2x = 84 + -68 -2x = 84 + -68 Combine like terms: 84 + -68 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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