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Simplifying 100 = 10(x + -65) + 50 Reorder the terms: 100 = 10(-65 + x) + 50 100 = (-65 * 10 + x * 10) + 50 100 = (-650 + 10x) + 50 Reorder the terms: 100 = -650 + 50 + 10x Combine like terms: -650 + 50 = -600 100 = -600 + 10x Solving 100 = -600 + 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. 100 + -10x = -600 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -10x = -600 + 0 100 + -10x = -600 Add '-100' to each side of the equation. 100 + -100 + -10x = -600 + -100 Combine like terms: 100 + -100 = 0 0 + -10x = -600 + -100 -10x = -600 + -100 Combine like terms: -600 + -100 = -700 -10x = -700 Divide each side by '-10'. x = 70 Simplifying x = 70
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