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Simplifying 12x + 45 = -3x + 120 Reorder the terms: 45 + 12x = -3x + 120 Reorder the terms: 45 + 12x = 120 + -3x Solving 45 + 12x = 120 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 45 + 12x + 3x = 120 + -3x + 3x Combine like terms: 12x + 3x = 15x 45 + 15x = 120 + -3x + 3x Combine like terms: -3x + 3x = 0 45 + 15x = 120 + 0 45 + 15x = 120 Add '-45' to each side of the equation. 45 + -45 + 15x = 120 + -45 Combine like terms: 45 + -45 = 0 0 + 15x = 120 + -45 15x = 120 + -45 Combine like terms: 120 + -45 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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