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Simplifying (5x + -15) = (75 + -1x) Reorder the terms: (-15 + 5x) = (75 + -1x) Remove parenthesis around (-15 + 5x) -15 + 5x = (75 + -1x) Remove parenthesis around (75 + -1x) -15 + 5x = 75 + -1x Solving -15 + 5x = 75 + -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. -15 + 5x + x = 75 + -1x + x Combine like terms: 5x + x = 6x -15 + 6x = 75 + -1x + x Combine like terms: -1x + x = 0 -15 + 6x = 75 + 0 -15 + 6x = 75 Add '15' to each side of the equation. -15 + 15 + 6x = 75 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 75 + 15 6x = 75 + 15 Combine like terms: 75 + 15 = 90 6x = 90 Divide each side by '6'. x = 15 Simplifying x = 15
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