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Simplifying 17 + -2(x + 4) = 10(x + 5) + -27 Reorder the terms: 17 + -2(4 + x) = 10(x + 5) + -27 17 + (4 * -2 + x * -2) = 10(x + 5) + -27 17 + (-8 + -2x) = 10(x + 5) + -27 Combine like terms: 17 + -8 = 9 9 + -2x = 10(x + 5) + -27 Reorder the terms: 9 + -2x = 10(5 + x) + -27 9 + -2x = (5 * 10 + x * 10) + -27 9 + -2x = (50 + 10x) + -27 Reorder the terms: 9 + -2x = 50 + -27 + 10x Combine like terms: 50 + -27 = 23 9 + -2x = 23 + 10x Solving 9 + -2x = 23 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 9 + -2x + -10x = 23 + 10x + -10x Combine like terms: -2x + -10x = -12x 9 + -12x = 23 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -12x = 23 + 0 9 + -12x = 23 Add '-9' to each side of the equation. 9 + -9 + -12x = 23 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = 23 + -9 -12x = 23 + -9 Combine like terms: 23 + -9 = 14 -12x = 14 Divide each side by '-12'. x = -1.166666667 Simplifying x = -1.166666667
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