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Simplifying 2x + 34 = 10x + 46 Reorder the terms: 34 + 2x = 10x + 46 Reorder the terms: 34 + 2x = 46 + 10x Solving 34 + 2x = 46 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 34 + 2x + -10x = 46 + 10x + -10x Combine like terms: 2x + -10x = -8x 34 + -8x = 46 + 10x + -10x Combine like terms: 10x + -10x = 0 34 + -8x = 46 + 0 34 + -8x = 46 Add '-34' to each side of the equation. 34 + -34 + -8x = 46 + -34 Combine like terms: 34 + -34 = 0 0 + -8x = 46 + -34 -8x = 46 + -34 Combine like terms: 46 + -34 = 12 -8x = 12 Divide each side by '-8'. x = -1.5 Simplifying x = -1.5
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