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Simplifying 90 = (3x + -45) + (2x + 15) Reorder the terms: 90 = (-45 + 3x) + (2x + 15) Remove parenthesis around (-45 + 3x) 90 = -45 + 3x + (2x + 15) Reorder the terms: 90 = -45 + 3x + (15 + 2x) Remove parenthesis around (15 + 2x) 90 = -45 + 3x + 15 + 2x Reorder the terms: 90 = -45 + 15 + 3x + 2x Combine like terms: -45 + 15 = -30 90 = -30 + 3x + 2x Combine like terms: 3x + 2x = 5x 90 = -30 + 5x Solving 90 = -30 + 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. 90 + -5x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 90 + -5x = -30 + 0 90 + -5x = -30 Add '-90' to each side of the equation. 90 + -90 + -5x = -30 + -90 Combine like terms: 90 + -90 = 0 0 + -5x = -30 + -90 -5x = -30 + -90 Combine like terms: -30 + -90 = -120 -5x = -120 Divide each side by '-5'. x = 24 Simplifying x = 24
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