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Simplifying 3x + 42 = x + 34 Reorder the terms: 42 + 3x = x + 34 Reorder the terms: 42 + 3x = 34 + x Solving 42 + 3x = 34 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 42 + 3x + -1x = 34 + x + -1x Combine like terms: 3x + -1x = 2x 42 + 2x = 34 + x + -1x Combine like terms: x + -1x = 0 42 + 2x = 34 + 0 42 + 2x = 34 Add '-42' to each side of the equation. 42 + -42 + 2x = 34 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 34 + -42 2x = 34 + -42 Combine like terms: 34 + -42 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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