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Simplifying 400 = 10(x + -65) + 50 Reorder the terms: 400 = 10(-65 + x) + 50 400 = (-65 * 10 + x * 10) + 50 400 = (-650 + 10x) + 50 Reorder the terms: 400 = -650 + 50 + 10x Combine like terms: -650 + 50 = -600 400 = -600 + 10x Solving 400 = -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. 400 + -10x = -600 + 10x + -10x Combine like terms: 10x + -10x = 0 400 + -10x = -600 + 0 400 + -10x = -600 Add '-400' to each side of the equation. 400 + -400 + -10x = -600 + -400 Combine like terms: 400 + -400 = 0 0 + -10x = -600 + -400 -10x = -600 + -400 Combine like terms: -600 + -400 = -1000 -10x = -1000 Divide each side by '-10'. x = 100 Simplifying x = 100
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