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Simplifying 9x + 57 = 9 + -1(2x + 18) Reorder the terms: 57 + 9x = 9 + -1(2x + 18) Reorder the terms: 57 + 9x = 9 + -1(18 + 2x) 57 + 9x = 9 + (18 * -1 + 2x * -1) 57 + 9x = 9 + (-18 + -2x) Combine like terms: 9 + -18 = -9 57 + 9x = -9 + -2x Solving 57 + 9x = -9 + -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. 57 + 9x + 2x = -9 + -2x + 2x Combine like terms: 9x + 2x = 11x 57 + 11x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 57 + 11x = -9 + 0 57 + 11x = -9 Add '-57' to each side of the equation. 57 + -57 + 11x = -9 + -57 Combine like terms: 57 + -57 = 0 0 + 11x = -9 + -57 11x = -9 + -57 Combine like terms: -9 + -57 = -66 11x = -66 Divide each side by '11'. x = -6 Simplifying x = -6
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