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Simplifying 15x + 40 = 5x + 120 Reorder the terms: 40 + 15x = 5x + 120 Reorder the terms: 40 + 15x = 120 + 5x Solving 40 + 15x = 120 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 40 + 15x + -5x = 120 + 5x + -5x Combine like terms: 15x + -5x = 10x 40 + 10x = 120 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + 10x = 120 + 0 40 + 10x = 120 Add '-40' to each side of the equation. 40 + -40 + 10x = 120 + -40 Combine like terms: 40 + -40 = 0 0 + 10x = 120 + -40 10x = 120 + -40 Combine like terms: 120 + -40 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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