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Simplifying 5x + 0(x + y) + -3y + 14 + -3(y + -1x) = 0 Anything times zero is zero. 5x + 0(x + y) + -3y + 14 + -3(y + -1x) = 0 Reorder the terms: 5x + 0 + -3y + 14 + -3(-1x + y) = 0 5x + 0 + -3y + 14 + (-1x * -3 + y * -3) = 0 5x + 0 + -3y + 14 + (3x + -3y) = 0 Reorder the terms: 0 + 14 + 5x + 3x + -3y + -3y = 0 Combine like terms: 0 + 14 = 14 14 + 5x + 3x + -3y + -3y = 0 Combine like terms: 5x + 3x = 8x 14 + 8x + -3y + -3y = 0 Combine like terms: -3y + -3y = -6y 14 + 8x + -6y = 0 Solving 14 + 8x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 8x + -14 + -6y = 0 + -14 Reorder the terms: 14 + -14 + 8x + -6y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8x + -6y = 0 + -14 8x + -6y = 0 + -14 Combine like terms: 0 + -14 = -14 8x + -6y = -14 Add '6y' to each side of the equation. 8x + -6y + 6y = -14 + 6y Combine like terms: -6y + 6y = 0 8x + 0 = -14 + 6y 8x = -14 + 6y Divide each side by '8'. x = -1.75 + 0.75y Simplifying x = -1.75 + 0.75y
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