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Simplifying 8(x + -7) + -9(y + 5) = 80 Reorder the terms: 8(-7 + x) + -9(y + 5) = 80 (-7 * 8 + x * 8) + -9(y + 5) = 80 (-56 + 8x) + -9(y + 5) = 80 Reorder the terms: -56 + 8x + -9(5 + y) = 80 -56 + 8x + (5 * -9 + y * -9) = 80 -56 + 8x + (-45 + -9y) = 80 Reorder the terms: -56 + -45 + 8x + -9y = 80 Combine like terms: -56 + -45 = -101 -101 + 8x + -9y = 80 Solving -101 + 8x + -9y = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '101' to each side of the equation. -101 + 8x + 101 + -9y = 80 + 101 Reorder the terms: -101 + 101 + 8x + -9y = 80 + 101 Combine like terms: -101 + 101 = 0 0 + 8x + -9y = 80 + 101 8x + -9y = 80 + 101 Combine like terms: 80 + 101 = 181 8x + -9y = 181 Add '9y' to each side of the equation. 8x + -9y + 9y = 181 + 9y Combine like terms: -9y + 9y = 0 8x + 0 = 181 + 9y 8x = 181 + 9y Divide each side by '8'. x = 22.625 + 1.125y Simplifying x = 22.625 + 1.125y
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