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Simplifying 8x + 5(x + -6) = 57 + -1(17 + -1x) Reorder the terms: 8x + 5(-6 + x) = 57 + -1(17 + -1x) 8x + (-6 * 5 + x * 5) = 57 + -1(17 + -1x) 8x + (-30 + 5x) = 57 + -1(17 + -1x) Reorder the terms: -30 + 8x + 5x = 57 + -1(17 + -1x) Combine like terms: 8x + 5x = 13x -30 + 13x = 57 + -1(17 + -1x) -30 + 13x = 57 + (17 * -1 + -1x * -1) -30 + 13x = 57 + (-17 + 1x) Combine like terms: 57 + -17 = 40 -30 + 13x = 40 + 1x Solving -30 + 13x = 40 + 1x 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. -30 + 13x + -1x = 40 + 1x + -1x Combine like terms: 13x + -1x = 12x -30 + 12x = 40 + 1x + -1x Combine like terms: 1x + -1x = 0 -30 + 12x = 40 + 0 -30 + 12x = 40 Add '30' to each side of the equation. -30 + 30 + 12x = 40 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 40 + 30 12x = 40 + 30 Combine like terms: 40 + 30 = 70 12x = 70 Divide each side by '12'. x = 5.833333333 Simplifying x = 5.833333333
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