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Simplifying (2x + -3y + 5) + -1(3x + -1y + -4) = 0 Reorder the terms: (5 + 2x + -3y) + -1(3x + -1y + -4) = 0 Remove parenthesis around (5 + 2x + -3y) 5 + 2x + -3y + -1(3x + -1y + -4) = 0 Reorder the terms: 5 + 2x + -3y + -1(-4 + 3x + -1y) = 0 5 + 2x + -3y + (-4 * -1 + 3x * -1 + -1y * -1) = 0 5 + 2x + -3y + (4 + -3x + 1y) = 0 Reorder the terms: 5 + 4 + 2x + -3x + -3y + 1y = 0 Combine like terms: 5 + 4 = 9 9 + 2x + -3x + -3y + 1y = 0 Combine like terms: 2x + -3x = -1x 9 + -1x + -3y + 1y = 0 Combine like terms: -3y + 1y = -2y 9 + -1x + -2y = 0 Solving 9 + -1x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -1x + -9 + -2y = 0 + -9 Reorder the terms: 9 + -9 + -1x + -2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x + -2y = 0 + -9 -1x + -2y = 0 + -9 Combine like terms: 0 + -9 = -9 -1x + -2y = -9 Add '2y' to each side of the equation. -1x + -2y + 2y = -9 + 2y Combine like terms: -2y + 2y = 0 -1x + 0 = -9 + 2y -1x = -9 + 2y Divide each side by '-1'. x = 9 + -2y Simplifying x = 9 + -2y
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