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Simplifying 10x + -5x + 165 = 10x + 75 Reorder the terms: 165 + 10x + -5x = 10x + 75 Combine like terms: 10x + -5x = 5x 165 + 5x = 10x + 75 Reorder the terms: 165 + 5x = 75 + 10x Solving 165 + 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. 165 + 5x + -10x = 75 + 10x + -10x Combine like terms: 5x + -10x = -5x 165 + -5x = 75 + 10x + -10x Combine like terms: 10x + -10x = 0 165 + -5x = 75 + 0 165 + -5x = 75 Add '-165' to each side of the equation. 165 + -165 + -5x = 75 + -165 Combine like terms: 165 + -165 = 0 0 + -5x = 75 + -165 -5x = 75 + -165 Combine like terms: 75 + -165 = -90 -5x = -90 Divide each side by '-5'. x = 18 Simplifying x = 18
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