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Simplifying 45 = 3x + 5 + (2x + -3) Reorder the terms: 45 = 3x + 5 + (-3 + 2x) Remove parenthesis around (-3 + 2x) 45 = 3x + 5 + -3 + 2x Reorder the terms: 45 = 5 + -3 + 3x + 2x Combine like terms: 5 + -3 = 2 45 = 2 + 3x + 2x Combine like terms: 3x + 2x = 5x 45 = 2 + 5x Solving 45 = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 45 + -5x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + -5x = 2 + 0 45 + -5x = 2 Add '-45' to each side of the equation. 45 + -45 + -5x = 2 + -45 Combine like terms: 45 + -45 = 0 0 + -5x = 2 + -45 -5x = 2 + -45 Combine like terms: 2 + -45 = -43 -5x = -43 Divide each side by '-5'. x = 8.6 Simplifying x = 8.6
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