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Simplifying 2(45 + -12x) + 5y = 174 (45 * 2 + -12x * 2) + 5y = 174 (90 + -24x) + 5y = 174 Solving 90 + -24x + 5y = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -24x + -90 + 5y = 174 + -90 Reorder the terms: 90 + -90 + -24x + 5y = 174 + -90 Combine like terms: 90 + -90 = 0 0 + -24x + 5y = 174 + -90 -24x + 5y = 174 + -90 Combine like terms: 174 + -90 = 84 -24x + 5y = 84 Add '-5y' to each side of the equation. -24x + 5y + -5y = 84 + -5y Combine like terms: 5y + -5y = 0 -24x + 0 = 84 + -5y -24x = 84 + -5y Divide each side by '-24'. x = -3.5 + 0.2083333333y Simplifying x = -3.5 + 0.2083333333y
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