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Simplifying 10x + 30 = 9x + 42 Reorder the terms: 30 + 10x = 9x + 42 Reorder the terms: 30 + 10x = 42 + 9x Solving 30 + 10x = 42 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 30 + 10x + -9x = 42 + 9x + -9x Combine like terms: 10x + -9x = 1x 30 + 1x = 42 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + 1x = 42 + 0 30 + 1x = 42 Add '-30' to each side of the equation. 30 + -30 + 1x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 42 + -30 1x = 42 + -30 Combine like terms: 42 + -30 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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