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Simplifying 17(2x + -3) + -12x = 8 + -1(x + -10) Reorder the terms: 17(-3 + 2x) + -12x = 8 + -1(x + -10) (-3 * 17 + 2x * 17) + -12x = 8 + -1(x + -10) (-51 + 34x) + -12x = 8 + -1(x + -10) Combine like terms: 34x + -12x = 22x -51 + 22x = 8 + -1(x + -10) Reorder the terms: -51 + 22x = 8 + -1(-10 + x) -51 + 22x = 8 + (-10 * -1 + x * -1) -51 + 22x = 8 + (10 + -1x) Combine like terms: 8 + 10 = 18 -51 + 22x = 18 + -1x Solving -51 + 22x = 18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -51 + 22x + x = 18 + -1x + x Combine like terms: 22x + x = 23x -51 + 23x = 18 + -1x + x Combine like terms: -1x + x = 0 -51 + 23x = 18 + 0 -51 + 23x = 18 Add '51' to each side of the equation. -51 + 51 + 23x = 18 + 51 Combine like terms: -51 + 51 = 0 0 + 23x = 18 + 51 23x = 18 + 51 Combine like terms: 18 + 51 = 69 23x = 69 Divide each side by '23'. x = 3 Simplifying x = 3
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