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Simplifying 12(2x + -1) + -5(3y + 2) = 8 Reorder the terms: 12(-1 + 2x) + -5(3y + 2) = 8 (-1 * 12 + 2x * 12) + -5(3y + 2) = 8 (-12 + 24x) + -5(3y + 2) = 8 Reorder the terms: -12 + 24x + -5(2 + 3y) = 8 -12 + 24x + (2 * -5 + 3y * -5) = 8 -12 + 24x + (-10 + -15y) = 8 Reorder the terms: -12 + -10 + 24x + -15y = 8 Combine like terms: -12 + -10 = -22 -22 + 24x + -15y = 8 Solving -22 + 24x + -15y = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 24x + 22 + -15y = 8 + 22 Reorder the terms: -22 + 22 + 24x + -15y = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 24x + -15y = 8 + 22 24x + -15y = 8 + 22 Combine like terms: 8 + 22 = 30 24x + -15y = 30 Add '15y' to each side of the equation. 24x + -15y + 15y = 30 + 15y Combine like terms: -15y + 15y = 0 24x + 0 = 30 + 15y 24x = 30 + 15y Divide each side by '24'. x = 1.25 + 0.625y Simplifying x = 1.25 + 0.625y
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