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Simplifying 8x + -30 = 42 + -10x Reorder the terms: -30 + 8x = 42 + -10x Solving -30 + 8x = 42 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -30 + 8x + 10x = 42 + -10x + 10x Combine like terms: 8x + 10x = 18x -30 + 18x = 42 + -10x + 10x Combine like terms: -10x + 10x = 0 -30 + 18x = 42 + 0 -30 + 18x = 42 Add '30' to each side of the equation. -30 + 30 + 18x = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 18x = 42 + 30 18x = 42 + 30 Combine like terms: 42 + 30 = 72 18x = 72 Divide each side by '18'. x = 4 Simplifying x = 4
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