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Simplifying 10x + 45 = 30x + 5 Reorder the terms: 45 + 10x = 30x + 5 Reorder the terms: 45 + 10x = 5 + 30x Solving 45 + 10x = 5 + 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. 45 + 10x + -30x = 5 + 30x + -30x Combine like terms: 10x + -30x = -20x 45 + -20x = 5 + 30x + -30x Combine like terms: 30x + -30x = 0 45 + -20x = 5 + 0 45 + -20x = 5 Add '-45' to each side of the equation. 45 + -45 + -20x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -20x = 5 + -45 -20x = 5 + -45 Combine like terms: 5 + -45 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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