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Simplifying -42 + 5x = 78 + 10x Solving -42 + 5x = 78 + 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. -42 + 5x + -10x = 78 + 10x + -10x Combine like terms: 5x + -10x = -5x -42 + -5x = 78 + 10x + -10x Combine like terms: 10x + -10x = 0 -42 + -5x = 78 + 0 -42 + -5x = 78 Add '42' to each side of the equation. -42 + 42 + -5x = 78 + 42 Combine like terms: -42 + 42 = 0 0 + -5x = 78 + 42 -5x = 78 + 42 Combine like terms: 78 + 42 = 120 -5x = 120 Divide each side by '-5'. x = -24 Simplifying x = -24
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