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Simplifying 10x + -5x + 140 = 10x + 75 Reorder the terms: 140 + 10x + -5x = 10x + 75 Combine like terms: 10x + -5x = 5x 140 + 5x = 10x + 75 Reorder the terms: 140 + 5x = 75 + 10x Solving 140 + 5x = 75 + 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. 140 + 5x + -10x = 75 + 10x + -10x Combine like terms: 5x + -10x = -5x 140 + -5x = 75 + 10x + -10x Combine like terms: 10x + -10x = 0 140 + -5x = 75 + 0 140 + -5x = 75 Add '-140' to each side of the equation. 140 + -140 + -5x = 75 + -140 Combine like terms: 140 + -140 = 0 0 + -5x = 75 + -140 -5x = 75 + -140 Combine like terms: 75 + -140 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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