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Simplifying 10 + 2x = -2x + 46 Reorder the terms: 10 + 2x = 46 + -2x Solving 10 + 2x = 46 + -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. 10 + 2x + 2x = 46 + -2x + 2x Combine like terms: 2x + 2x = 4x 10 + 4x = 46 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 4x = 46 + 0 10 + 4x = 46 Add '-10' to each side of the equation. 10 + -10 + 4x = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 46 + -10 4x = 46 + -10 Combine like terms: 46 + -10 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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