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Simplifying (4 + -5x) = (7x + 100) Remove parenthesis around (4 + -5x) 4 + -5x = (7x + 100) Reorder the terms: 4 + -5x = (100 + 7x) Remove parenthesis around (100 + 7x) 4 + -5x = 100 + 7x Solving 4 + -5x = 100 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + -5x + -7x = 100 + 7x + -7x Combine like terms: -5x + -7x = -12x 4 + -12x = 100 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -12x = 100 + 0 4 + -12x = 100 Add '-4' to each side of the equation. 4 + -4 + -12x = 100 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 100 + -4 -12x = 100 + -4 Combine like terms: 100 + -4 = 96 -12x = 96 Divide each side by '-12'. x = -8 Simplifying x = -8
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