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Simplifying 47x + 1 = 48x + -1 Reorder the terms: 1 + 47x = 48x + -1 Reorder the terms: 1 + 47x = -1 + 48x Solving 1 + 47x = -1 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 1 + 47x + -48x = -1 + 48x + -48x Combine like terms: 47x + -48x = -1x 1 + -1x = -1 + 48x + -48x Combine like terms: 48x + -48x = 0 1 + -1x = -1 + 0 1 + -1x = -1 Add '-1' to each side of the equation. 1 + -1 + -1x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -1 + -1 -1x = -1 + -1 Combine like terms: -1 + -1 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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