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Simplifying -24 + 7x = 10x + 42 Reorder the terms: -24 + 7x = 42 + 10x Solving -24 + 7x = 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. -24 + 7x + -10x = 42 + 10x + -10x Combine like terms: 7x + -10x = -3x -24 + -3x = 42 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + -3x = 42 + 0 -24 + -3x = 42 Add '24' to each side of the equation. -24 + 24 + -3x = 42 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = 42 + 24 -3x = 42 + 24 Combine like terms: 42 + 24 = 66 -3x = 66 Divide each side by '-3'. x = -22 Simplifying x = -22
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