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Simplifying (3x + -45) = (2x + 15) Reorder the terms: (-45 + 3x) = (2x + 15) Remove parenthesis around (-45 + 3x) -45 + 3x = (2x + 15) Reorder the terms: -45 + 3x = (15 + 2x) Remove parenthesis around (15 + 2x) -45 + 3x = 15 + 2x Solving -45 + 3x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -45 + 3x + -2x = 15 + 2x + -2x Combine like terms: 3x + -2x = 1x -45 + 1x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + 1x = 15 + 0 -45 + 1x = 15 Add '45' to each side of the equation. -45 + 45 + 1x = 15 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = 15 + 45 1x = 15 + 45 Combine like terms: 15 + 45 = 60 1x = 60 Divide each side by '1'. x = 60 Simplifying x = 60
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