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Simplifying 2x + 34 = 3x + 42 Reorder the terms: 34 + 2x = 3x + 42 Reorder the terms: 34 + 2x = 42 + 3x Solving 34 + 2x = 42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 34 + 2x + -3x = 42 + 3x + -3x Combine like terms: 2x + -3x = -1x 34 + -1x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 34 + -1x = 42 + 0 34 + -1x = 42 Add '-34' to each side of the equation. 34 + -34 + -1x = 42 + -34 Combine like terms: 34 + -34 = 0 0 + -1x = 42 + -34 -1x = 42 + -34 Combine like terms: 42 + -34 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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