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Simplifying 3x + 109 = 15x + -71 Reorder the terms: 109 + 3x = 15x + -71 Reorder the terms: 109 + 3x = -71 + 15x Solving 109 + 3x = -71 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 109 + 3x + -15x = -71 + 15x + -15x Combine like terms: 3x + -15x = -12x 109 + -12x = -71 + 15x + -15x Combine like terms: 15x + -15x = 0 109 + -12x = -71 + 0 109 + -12x = -71 Add '-109' to each side of the equation. 109 + -109 + -12x = -71 + -109 Combine like terms: 109 + -109 = 0 0 + -12x = -71 + -109 -12x = -71 + -109 Combine like terms: -71 + -109 = -180 -12x = -180 Divide each side by '-12'. x = 15 Simplifying x = 15
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