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Simplifying 200 = 10(x + -65) + 100 Reorder the terms: 200 = 10(-65 + x) + 100 200 = (-65 * 10 + x * 10) + 100 200 = (-650 + 10x) + 100 Reorder the terms: 200 = -650 + 100 + 10x Combine like terms: -650 + 100 = -550 200 = -550 + 10x Solving 200 = -550 + 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. 200 + -10x = -550 + 10x + -10x Combine like terms: 10x + -10x = 0 200 + -10x = -550 + 0 200 + -10x = -550 Add '-200' to each side of the equation. 200 + -200 + -10x = -550 + -200 Combine like terms: 200 + -200 = 0 0 + -10x = -550 + -200 -10x = -550 + -200 Combine like terms: -550 + -200 = -750 -10x = -750 Divide each side by '-10'. x = 75 Simplifying x = 75
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