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Simplifying 42 + -3x = 5x + 10 Reorder the terms: 42 + -3x = 10 + 5x Solving 42 + -3x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 42 + -3x + -5x = 10 + 5x + -5x Combine like terms: -3x + -5x = -8x 42 + -8x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -8x = 10 + 0 42 + -8x = 10 Add '-42' to each side of the equation. 42 + -42 + -8x = 10 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = 10 + -42 -8x = 10 + -42 Combine like terms: 10 + -42 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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