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Simplifying 3x + 7x + 40 = 20x + 120 Reorder the terms: 40 + 3x + 7x = 20x + 120 Combine like terms: 3x + 7x = 10x 40 + 10x = 20x + 120 Reorder the terms: 40 + 10x = 120 + 20x Solving 40 + 10x = 120 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 40 + 10x + -20x = 120 + 20x + -20x Combine like terms: 10x + -20x = -10x 40 + -10x = 120 + 20x + -20x Combine like terms: 20x + -20x = 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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