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Simplifying 90 = (2x + -10) + (3x + -10) Reorder the terms: 90 = (-10 + 2x) + (3x + -10) Remove parenthesis around (-10 + 2x) 90 = -10 + 2x + (3x + -10) Reorder the terms: 90 = -10 + 2x + (-10 + 3x) Remove parenthesis around (-10 + 3x) 90 = -10 + 2x + -10 + 3x Reorder the terms: 90 = -10 + -10 + 2x + 3x Combine like terms: -10 + -10 = -20 90 = -20 + 2x + 3x Combine like terms: 2x + 3x = 5x 90 = -20 + 5x Solving 90 = -20 + 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 = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 90 + -5x = -20 + 0 90 + -5x = -20 Add '-90' to each side of the equation. 90 + -90 + -5x = -20 + -90 Combine like terms: 90 + -90 = 0 0 + -5x = -20 + -90 -5x = -20 + -90 Combine like terms: -20 + -90 = -110 -5x = -110 Divide each side by '-5'. x = 22 Simplifying x = 22
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