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Simplifying 200 = 10(x + -50) + 50 Reorder the terms: 200 = 10(-50 + x) + 50 200 = (-50 * 10 + x * 10) + 50 200 = (-500 + 10x) + 50 Reorder the terms: 200 = -500 + 50 + 10x Combine like terms: -500 + 50 = -450 200 = -450 + 10x Solving 200 = -450 + 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 = -450 + 10x + -10x Combine like terms: 10x + -10x = 0 200 + -10x = -450 + 0 200 + -10x = -450 Add '-200' to each side of the equation. 200 + -200 + -10x = -450 + -200 Combine like terms: 200 + -200 = 0 0 + -10x = -450 + -200 -10x = -450 + -200 Combine like terms: -450 + -200 = -650 -10x = -650 Divide each side by '-10'. x = 65 Simplifying x = 65
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