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Simplifying x * 2 + 46 = 5x + -11 Reorder the terms for easier multiplication: 2x + 46 = 5x + -11 Reorder the terms: 46 + 2x = 5x + -11 Reorder the terms: 46 + 2x = -11 + 5x Solving 46 + 2x = -11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 46 + 2x + -5x = -11 + 5x + -5x Combine like terms: 2x + -5x = -3x 46 + -3x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 46 + -3x = -11 + 0 46 + -3x = -11 Add '-46' to each side of the equation. 46 + -46 + -3x = -11 + -46 Combine like terms: 46 + -46 = 0 0 + -3x = -11 + -46 -3x = -11 + -46 Combine like terms: -11 + -46 = -57 -3x = -57 Divide each side by '-3'. x = 19 Simplifying x = 19
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