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Simplifying 3x + 42 = 5x + -8 Reorder the terms: 42 + 3x = 5x + -8 Reorder the terms: 42 + 3x = -8 + 5x Solving 42 + 3x = -8 + 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 = -8 + 5x + -5x Combine like terms: 3x + -5x = -2x 42 + -2x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -2x = -8 + 0 42 + -2x = -8 Add '-42' to each side of the equation. 42 + -42 + -2x = -8 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = -8 + -42 -2x = -8 + -42 Combine like terms: -8 + -42 = -50 -2x = -50 Divide each side by '-2'. x = 25 Simplifying x = 25
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