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Simplifying x + -46 = -4x + 19 Reorder the terms: -46 + x = -4x + 19 Reorder the terms: -46 + x = 19 + -4x Solving -46 + x = 19 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -46 + x + 4x = 19 + -4x + 4x Combine like terms: x + 4x = 5x -46 + 5x = 19 + -4x + 4x Combine like terms: -4x + 4x = 0 -46 + 5x = 19 + 0 -46 + 5x = 19 Add '46' to each side of the equation. -46 + 46 + 5x = 19 + 46 Combine like terms: -46 + 46 = 0 0 + 5x = 19 + 46 5x = 19 + 46 Combine like terms: 19 + 46 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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