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Simplifying (-2x + 3y + -5) + -1(4x + -5y + 8) = 0 Reorder the terms: (-5 + -2x + 3y) + -1(4x + -5y + 8) = 0 Remove parenthesis around (-5 + -2x + 3y) -5 + -2x + 3y + -1(4x + -5y + 8) = 0 Reorder the terms: -5 + -2x + 3y + -1(8 + 4x + -5y) = 0 -5 + -2x + 3y + (8 * -1 + 4x * -1 + -5y * -1) = 0 -5 + -2x + 3y + (-8 + -4x + 5y) = 0 Reorder the terms: -5 + -8 + -2x + -4x + 3y + 5y = 0 Combine like terms: -5 + -8 = -13 -13 + -2x + -4x + 3y + 5y = 0 Combine like terms: -2x + -4x = -6x -13 + -6x + 3y + 5y = 0 Combine like terms: 3y + 5y = 8y -13 + -6x + 8y = 0 Solving -13 + -6x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + -6x + 13 + 8y = 0 + 13 Reorder the terms: -13 + 13 + -6x + 8y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -6x + 8y = 0 + 13 -6x + 8y = 0 + 13 Combine like terms: 0 + 13 = 13 -6x + 8y = 13 Add '-8y' to each side of the equation. -6x + 8y + -8y = 13 + -8y Combine like terms: 8y + -8y = 0 -6x + 0 = 13 + -8y -6x = 13 + -8y Divide each side by '-6'. x = -2.166666667 + 1.333333333y Simplifying x = -2.166666667 + 1.333333333y
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