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Simplifying 54 + 4x + -8 = 5x + -19 Reorder the terms: 54 + -8 + 4x = 5x + -19 Combine like terms: 54 + -8 = 46 46 + 4x = 5x + -19 Reorder the terms: 46 + 4x = -19 + 5x Solving 46 + 4x = -19 + 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 + 4x + -5x = -19 + 5x + -5x Combine like terms: 4x + -5x = -1x 46 + -1x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 46 + -1x = -19 + 0 46 + -1x = -19 Add '-46' to each side of the equation. 46 + -46 + -1x = -19 + -46 Combine like terms: 46 + -46 = 0 0 + -1x = -19 + -46 -1x = -19 + -46 Combine like terms: -19 + -46 = -65 -1x = -65 Divide each side by '-1'. x = 65 Simplifying x = 65
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