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Simplifying 5x + -46 = 89 + 10x Reorder the terms: -46 + 5x = 89 + 10x Solving -46 + 5x = 89 + 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. -46 + 5x + -10x = 89 + 10x + -10x Combine like terms: 5x + -10x = -5x -46 + -5x = 89 + 10x + -10x Combine like terms: 10x + -10x = 0 -46 + -5x = 89 + 0 -46 + -5x = 89 Add '46' to each side of the equation. -46 + 46 + -5x = 89 + 46 Combine like terms: -46 + 46 = 0 0 + -5x = 89 + 46 -5x = 89 + 46 Combine like terms: 89 + 46 = 135 -5x = 135 Divide each side by '-5'. x = -27 Simplifying x = -27
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