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Simplifying -48 + 5x = -1x + 42 Reorder the terms: -48 + 5x = 42 + -1x Solving -48 + 5x = 42 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -48 + 5x + x = 42 + -1x + x Combine like terms: 5x + x = 6x -48 + 6x = 42 + -1x + x Combine like terms: -1x + x = 0 -48 + 6x = 42 + 0 -48 + 6x = 42 Add '48' to each side of the equation. -48 + 48 + 6x = 42 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = 42 + 48 6x = 42 + 48 Combine like terms: 42 + 48 = 90 6x = 90 Divide each side by '6'. x = 15 Simplifying x = 15
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