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Simplifying 3x + -42 = 2x + 17 Reorder the terms: -42 + 3x = 2x + 17 Reorder the terms: -42 + 3x = 17 + 2x Solving -42 + 3x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 3x + -2x = 17 + 2x + -2x Combine like terms: 3x + -2x = 1x -42 + 1x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 1x = 17 + 0 -42 + 1x = 17 Add '42' to each side of the equation. -42 + 42 + 1x = 17 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = 17 + 42 1x = 17 + 42 Combine like terms: 17 + 42 = 59 1x = 59 Divide each side by '1'. x = 59 Simplifying x = 59
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