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Simplifying 8(2x + -3) + -5(3y + -4) = 37 Reorder the terms: 8(-3 + 2x) + -5(3y + -4) = 37 (-3 * 8 + 2x * 8) + -5(3y + -4) = 37 (-24 + 16x) + -5(3y + -4) = 37 Reorder the terms: -24 + 16x + -5(-4 + 3y) = 37 -24 + 16x + (-4 * -5 + 3y * -5) = 37 -24 + 16x + (20 + -15y) = 37 Reorder the terms: -24 + 20 + 16x + -15y = 37 Combine like terms: -24 + 20 = -4 -4 + 16x + -15y = 37 Solving -4 + 16x + -15y = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 16x + 4 + -15y = 37 + 4 Reorder the terms: -4 + 4 + 16x + -15y = 37 + 4 Combine like terms: -4 + 4 = 0 0 + 16x + -15y = 37 + 4 16x + -15y = 37 + 4 Combine like terms: 37 + 4 = 41 16x + -15y = 41 Add '15y' to each side of the equation. 16x + -15y + 15y = 41 + 15y Combine like terms: -15y + 15y = 0 16x + 0 = 41 + 15y 16x = 41 + 15y Divide each side by '16'. x = 2.5625 + 0.9375y Simplifying x = 2.5625 + 0.9375y
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