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Simplifying 57 + -1(6x + -17) = 9x + -31 Reorder the terms: 57 + -1(-17 + 6x) = 9x + -31 57 + (-17 * -1 + 6x * -1) = 9x + -31 57 + (17 + -6x) = 9x + -31 Combine like terms: 57 + 17 = 74 74 + -6x = 9x + -31 Reorder the terms: 74 + -6x = -31 + 9x Solving 74 + -6x = -31 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 74 + -6x + -9x = -31 + 9x + -9x Combine like terms: -6x + -9x = -15x 74 + -15x = -31 + 9x + -9x Combine like terms: 9x + -9x = 0 74 + -15x = -31 + 0 74 + -15x = -31 Add '-74' to each side of the equation. 74 + -74 + -15x = -31 + -74 Combine like terms: 74 + -74 = 0 0 + -15x = -31 + -74 -15x = -31 + -74 Combine like terms: -31 + -74 = -105 -15x = -105 Divide each side by '-15'. x = 7 Simplifying x = 7
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