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Simplifying 8(2x + -25) = 10(x + -20) Reorder the terms: 8(-25 + 2x) = 10(x + -20) (-25 * 8 + 2x * 8) = 10(x + -20) (-200 + 16x) = 10(x + -20) Reorder the terms: -200 + 16x = 10(-20 + x) -200 + 16x = (-20 * 10 + x * 10) -200 + 16x = (-200 + 10x) Add '200' to each side of the equation. -200 + 200 + 16x = -200 + 200 + 10x Combine like terms: -200 + 200 = 0 0 + 16x = -200 + 200 + 10x 16x = -200 + 200 + 10x Combine like terms: -200 + 200 = 0 16x = 0 + 10x 16x = 10x Solving 16x = 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. 16x + -10x = 10x + -10x Combine like terms: 16x + -10x = 6x 6x = 10x + -10x Combine like terms: 10x + -10x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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