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Simplifying 20(-15x + 10) = 17(x + -5) Reorder the terms: 20(10 + -15x) = 17(x + -5) (10 * 20 + -15x * 20) = 17(x + -5) (200 + -300x) = 17(x + -5) Reorder the terms: 200 + -300x = 17(-5 + x) 200 + -300x = (-5 * 17 + x * 17) 200 + -300x = (-85 + 17x) Solving 200 + -300x = -85 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 200 + -300x + -17x = -85 + 17x + -17x Combine like terms: -300x + -17x = -317x 200 + -317x = -85 + 17x + -17x Combine like terms: 17x + -17x = 0 200 + -317x = -85 + 0 200 + -317x = -85 Add '-200' to each side of the equation. 200 + -200 + -317x = -85 + -200 Combine like terms: 200 + -200 = 0 0 + -317x = -85 + -200 -317x = -85 + -200 Combine like terms: -85 + -200 = -285 -317x = -285 Divide each side by '-317'. x = 0.8990536278 Simplifying x = 0.8990536278
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