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Simplifying 45 = (5x + -2) + (2x + -9) Reorder the terms: 45 = (-2 + 5x) + (2x + -9) Remove parenthesis around (-2 + 5x) 45 = -2 + 5x + (2x + -9) Reorder the terms: 45 = -2 + 5x + (-9 + 2x) Remove parenthesis around (-9 + 2x) 45 = -2 + 5x + -9 + 2x Reorder the terms: 45 = -2 + -9 + 5x + 2x Combine like terms: -2 + -9 = -11 45 = -11 + 5x + 2x Combine like terms: 5x + 2x = 7x 45 = -11 + 7x Solving 45 = -11 + 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 + -7x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + -7x = -11 + 0 45 + -7x = -11 Add '-45' to each side of the equation. 45 + -45 + -7x = -11 + -45 Combine like terms: 45 + -45 = 0 0 + -7x = -11 + -45 -7x = -11 + -45 Combine like terms: -11 + -45 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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