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Simplifying 20(-10x + 2) = 15(x + -5) Reorder the terms: 20(2 + -10x) = 15(x + -5) (2 * 20 + -10x * 20) = 15(x + -5) (40 + -200x) = 15(x + -5) Reorder the terms: 40 + -200x = 15(-5 + x) 40 + -200x = (-5 * 15 + x * 15) 40 + -200x = (-75 + 15x) Solving 40 + -200x = -75 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 40 + -200x + -15x = -75 + 15x + -15x Combine like terms: -200x + -15x = -215x 40 + -215x = -75 + 15x + -15x Combine like terms: 15x + -15x = 0 40 + -215x = -75 + 0 40 + -215x = -75 Add '-40' to each side of the equation. 40 + -40 + -215x = -75 + -40 Combine like terms: 40 + -40 = 0 0 + -215x = -75 + -40 -215x = -75 + -40 Combine like terms: -75 + -40 = -115 -215x = -115 Divide each side by '-215'. x = 0.5348837209 Simplifying x = 0.5348837209
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