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Simplifying -8(17x + 10) = 9(-17x + -20) + -19 Reorder the terms: -8(10 + 17x) = 9(-17x + -20) + -19 (10 * -8 + 17x * -8) = 9(-17x + -20) + -19 (-80 + -136x) = 9(-17x + -20) + -19 Reorder the terms: -80 + -136x = 9(-20 + -17x) + -19 -80 + -136x = (-20 * 9 + -17x * 9) + -19 -80 + -136x = (-180 + -153x) + -19 Reorder the terms: -80 + -136x = -180 + -19 + -153x Combine like terms: -180 + -19 = -199 -80 + -136x = -199 + -153x Solving -80 + -136x = -199 + -153x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '153x' to each side of the equation. -80 + -136x + 153x = -199 + -153x + 153x Combine like terms: -136x + 153x = 17x -80 + 17x = -199 + -153x + 153x Combine like terms: -153x + 153x = 0 -80 + 17x = -199 + 0 -80 + 17x = -199 Add '80' to each side of the equation. -80 + 80 + 17x = -199 + 80 Combine like terms: -80 + 80 = 0 0 + 17x = -199 + 80 17x = -199 + 80 Combine like terms: -199 + 80 = -119 17x = -119 Divide each side by '17'. x = -7 Simplifying x = -7
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