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Simplifying 10x + 20 = 30x + 40 Reorder the terms: 20 + 10x = 30x + 40 Reorder the terms: 20 + 10x = 40 + 30x Solving 20 + 10x = 40 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 20 + 10x + -30x = 40 + 30x + -30x Combine like terms: 10x + -30x = -20x 20 + -20x = 40 + 30x + -30x Combine like terms: 30x + -30x = 0 20 + -20x = 40 + 0 20 + -20x = 40 Add '-20' to each side of the equation. 20 + -20 + -20x = 40 + -20 Combine like terms: 20 + -20 = 0 0 + -20x = 40 + -20 -20x = 40 + -20 Combine like terms: 40 + -20 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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