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Simplifying 8(57 + -6x) = 3(x + -1) (57 * 8 + -6x * 8) = 3(x + -1) (456 + -48x) = 3(x + -1) Reorder the terms: 456 + -48x = 3(-1 + x) 456 + -48x = (-1 * 3 + x * 3) 456 + -48x = (-3 + 3x) Solving 456 + -48x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 456 + -48x + -3x = -3 + 3x + -3x Combine like terms: -48x + -3x = -51x 456 + -51x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 456 + -51x = -3 + 0 456 + -51x = -3 Add '-456' to each side of the equation. 456 + -456 + -51x = -3 + -456 Combine like terms: 456 + -456 = 0 0 + -51x = -3 + -456 -51x = -3 + -456 Combine like terms: -3 + -456 = -459 -51x = -459 Divide each side by '-51'. x = 9 Simplifying x = 9
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