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Simplifying (2x + -45) = (7x + 5) Reorder the terms: (-45 + 2x) = (7x + 5) Remove parenthesis around (-45 + 2x) -45 + 2x = (7x + 5) Reorder the terms: -45 + 2x = (5 + 7x) Remove parenthesis around (5 + 7x) -45 + 2x = 5 + 7x Solving -45 + 2x = 5 + 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. -45 + 2x + -7x = 5 + 7x + -7x Combine like terms: 2x + -7x = -5x -45 + -5x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + -5x = 5 + 0 -45 + -5x = 5 Add '45' to each side of the equation. -45 + 45 + -5x = 5 + 45 Combine like terms: -45 + 45 = 0 0 + -5x = 5 + 45 -5x = 5 + 45 Combine like terms: 5 + 45 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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