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Simplifying 10x + -5x + 170 = 10x + 75 Reorder the terms: 170 + 10x + -5x = 10x + 75 Combine like terms: 10x + -5x = 5x 170 + 5x = 10x + 75 Reorder the terms: 170 + 5x = 75 + 10x Solving 170 + 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. 170 + 5x + -10x = 75 + 10x + -10x Combine like terms: 5x + -10x = -5x 170 + -5x = 75 + 10x + -10x Combine like terms: 10x + -10x = 0 170 + -5x = 75 + 0 170 + -5x = 75 Add '-170' to each side of the equation. 170 + -170 + -5x = 75 + -170 Combine like terms: 170 + -170 = 0 0 + -5x = 75 + -170 -5x = 75 + -170 Combine like terms: 75 + -170 = -95 -5x = -95 Divide each side by '-5'. x = 19 Simplifying x = 19
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