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Simplifying -755 = 23(x + 30) + 5(1 + 7x) Reorder the terms: -755 = 23(30 + x) + 5(1 + 7x) -755 = (30 * 23 + x * 23) + 5(1 + 7x) -755 = (690 + 23x) + 5(1 + 7x) -755 = 690 + 23x + (1 * 5 + 7x * 5) -755 = 690 + 23x + (5 + 35x) Reorder the terms: -755 = 690 + 5 + 23x + 35x Combine like terms: 690 + 5 = 695 -755 = 695 + 23x + 35x Combine like terms: 23x + 35x = 58x -755 = 695 + 58x Solving -755 = 695 + 58x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58x' to each side of the equation. -755 + -58x = 695 + 58x + -58x Combine like terms: 58x + -58x = 0 -755 + -58x = 695 + 0 -755 + -58x = 695 Add '755' to each side of the equation. -755 + 755 + -58x = 695 + 755 Combine like terms: -755 + 755 = 0 0 + -58x = 695 + 755 -58x = 695 + 755 Combine like terms: 695 + 755 = 1450 -58x = 1450 Divide each side by '-58'. x = -25 Simplifying x = -25
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