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Simplifying 12x + -5x + 165 = 12x + 100 Reorder the terms: 165 + 12x + -5x = 12x + 100 Combine like terms: 12x + -5x = 7x 165 + 7x = 12x + 100 Reorder the terms: 165 + 7x = 100 + 12x Solving 165 + 7x = 100 + 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. 165 + 7x + -12x = 100 + 12x + -12x Combine like terms: 7x + -12x = -5x 165 + -5x = 100 + 12x + -12x Combine like terms: 12x + -12x = 0 165 + -5x = 100 + 0 165 + -5x = 100 Add '-165' to each side of the equation. 165 + -165 + -5x = 100 + -165 Combine like terms: 165 + -165 = 0 0 + -5x = 100 + -165 -5x = 100 + -165 Combine like terms: 100 + -165 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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