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Simplifying 8(x + -3) + 2x + -3y + 7(y + 4) + -1(-5x) = 0 Reorder the terms: 8(-3 + x) + 2x + -3y + 7(y + 4) + -1(-5x) = 0 (-3 * 8 + x * 8) + 2x + -3y + 7(y + 4) + -1(-5x) = 0 (-24 + 8x) + 2x + -3y + 7(y + 4) + -1(-5x) = 0 Reorder the terms: -24 + 8x + 2x + -3y + 7(4 + y) + -1(-5x) = 0 -24 + 8x + 2x + -3y + (4 * 7 + y * 7) + -1(-5x) = 0 -24 + 8x + 2x + -3y + (28 + 7y) + -1(-5x) = 0 Remove parenthesis around (-5x) -24 + 8x + 2x + -3y + 28 + 7y + -1 * -5x = 0 Multiply -1 * -5 -24 + 8x + 2x + -3y + 28 + 7y + 5x = 0 Reorder the terms: -24 + 28 + 8x + 2x + 5x + -3y + 7y = 0 Combine like terms: -24 + 28 = 4 4 + 8x + 2x + 5x + -3y + 7y = 0 Combine like terms: 8x + 2x = 10x 4 + 10x + 5x + -3y + 7y = 0 Combine like terms: 10x + 5x = 15x 4 + 15x + -3y + 7y = 0 Combine like terms: -3y + 7y = 4y 4 + 15x + 4y = 0 Solving 4 + 15x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 15x + -4 + 4y = 0 + -4 Reorder the terms: 4 + -4 + 15x + 4y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 15x + 4y = 0 + -4 15x + 4y = 0 + -4 Combine like terms: 0 + -4 = -4 15x + 4y = -4 Add '-4y' to each side of the equation. 15x + 4y + -4y = -4 + -4y Combine like terms: 4y + -4y = 0 15x + 0 = -4 + -4y 15x = -4 + -4y Divide each side by '15'. x = -0.2666666667 + -0.2666666667y Simplifying x = -0.2666666667 + -0.2666666667y
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