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Simplifying (18 + 5x + 8y) + -1(2x + 9y + 40) = 0 Remove parenthesis around (18 + 5x + 8y) 18 + 5x + 8y + -1(2x + 9y + 40) = 0 Reorder the terms: 18 + 5x + 8y + -1(40 + 2x + 9y) = 0 18 + 5x + 8y + (40 * -1 + 2x * -1 + 9y * -1) = 0 18 + 5x + 8y + (-40 + -2x + -9y) = 0 Reorder the terms: 18 + -40 + 5x + -2x + 8y + -9y = 0 Combine like terms: 18 + -40 = -22 -22 + 5x + -2x + 8y + -9y = 0 Combine like terms: 5x + -2x = 3x -22 + 3x + 8y + -9y = 0 Combine like terms: 8y + -9y = -1y -22 + 3x + -1y = 0 Solving -22 + 3x + -1y = 0 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 + 3x + 22 + -1y = 0 + 22 Reorder the terms: -22 + 22 + 3x + -1y = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 3x + -1y = 0 + 22 3x + -1y = 0 + 22 Combine like terms: 0 + 22 = 22 3x + -1y = 22 Add 'y' to each side of the equation. 3x + -1y + y = 22 + y Combine like terms: -1y + y = 0 3x + 0 = 22 + y 3x = 22 + y Divide each side by '3'. x = 7.333333333 + 0.3333333333y Simplifying x = 7.333333333 + 0.3333333333y
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