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Simplifying 8(x + -6) + -9(y + 3) = 30 Reorder the terms: 8(-6 + x) + -9(y + 3) = 30 (-6 * 8 + x * 8) + -9(y + 3) = 30 (-48 + 8x) + -9(y + 3) = 30 Reorder the terms: -48 + 8x + -9(3 + y) = 30 -48 + 8x + (3 * -9 + y * -9) = 30 -48 + 8x + (-27 + -9y) = 30 Reorder the terms: -48 + -27 + 8x + -9y = 30 Combine like terms: -48 + -27 = -75 -75 + 8x + -9y = 30 Solving -75 + 8x + -9y = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 8x + 75 + -9y = 30 + 75 Reorder the terms: -75 + 75 + 8x + -9y = 30 + 75 Combine like terms: -75 + 75 = 0 0 + 8x + -9y = 30 + 75 8x + -9y = 30 + 75 Combine like terms: 30 + 75 = 105 8x + -9y = 105 Add '9y' to each side of the equation. 8x + -9y + 9y = 105 + 9y Combine like terms: -9y + 9y = 0 8x + 0 = 105 + 9y 8x = 105 + 9y Divide each side by '8'. x = 13.125 + 1.125y Simplifying x = 13.125 + 1.125y
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