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Simplifying 5x + 120 = 12x + -13 Reorder the terms: 120 + 5x = 12x + -13 Reorder the terms: 120 + 5x = -13 + 12x Solving 120 + 5x = -13 + 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. 120 + 5x + -12x = -13 + 12x + -12x Combine like terms: 5x + -12x = -7x 120 + -7x = -13 + 12x + -12x Combine like terms: 12x + -12x = 0 120 + -7x = -13 + 0 120 + -7x = -13 Add '-120' to each side of the equation. 120 + -120 + -7x = -13 + -120 Combine like terms: 120 + -120 = 0 0 + -7x = -13 + -120 -7x = -13 + -120 Combine like terms: -13 + -120 = -133 -7x = -133 Divide each side by '-7'. x = 19 Simplifying x = 19
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