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Simplifying 12x + -5x + 170 = 12x + 65 Reorder the terms: 170 + 12x + -5x = 12x + 65 Combine like terms: 12x + -5x = 7x 170 + 7x = 12x + 65 Reorder the terms: 170 + 7x = 65 + 12x Solving 170 + 7x = 65 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 170 + 7x + -12x = 65 + 12x + -12x Combine like terms: 7x + -12x = -5x 170 + -5x = 65 + 12x + -12x Combine like terms: 12x + -12x = 0 170 + -5x = 65 + 0 170 + -5x = 65 Add '-170' to each side of the equation. 170 + -170 + -5x = 65 + -170 Combine like terms: 170 + -170 = 0 0 + -5x = 65 + -170 -5x = 65 + -170 Combine like terms: 65 + -170 = -105 -5x = -105 Divide each side by '-5'. x = 21 Simplifying x = 21
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