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Simplifying -1x + 4 + 12 = -2 + 5x + 48 Reorder the terms: 4 + 12 + -1x = -2 + 5x + 48 Combine like terms: 4 + 12 = 16 16 + -1x = -2 + 5x + 48 Reorder the terms: 16 + -1x = -2 + 48 + 5x Combine like terms: -2 + 48 = 46 16 + -1x = 46 + 5x Solving 16 + -1x = 46 + 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. 16 + -1x + -5x = 46 + 5x + -5x Combine like terms: -1x + -5x = -6x 16 + -6x = 46 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -6x = 46 + 0 16 + -6x = 46 Add '-16' to each side of the equation. 16 + -16 + -6x = 46 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = 46 + -16 -6x = 46 + -16 Combine like terms: 46 + -16 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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