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Simplifying -3x + 2 = 2x + 42 Reorder the terms: 2 + -3x = 2x + 42 Reorder the terms: 2 + -3x = 42 + 2x Solving 2 + -3x = 42 + 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. 2 + -3x + -2x = 42 + 2x + -2x Combine like terms: -3x + -2x = -5x 2 + -5x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -5x = 42 + 0 2 + -5x = 42 Add '-2' to each side of the equation. 2 + -2 + -5x = 42 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 42 + -2 -5x = 42 + -2 Combine like terms: 42 + -2 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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