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Simplifying 8(x + -2) + -3(y + -4) = 5(x + -1) Reorder the terms: 8(-2 + x) + -3(y + -4) = 5(x + -1) (-2 * 8 + x * 8) + -3(y + -4) = 5(x + -1) (-16 + 8x) + -3(y + -4) = 5(x + -1) Reorder the terms: -16 + 8x + -3(-4 + y) = 5(x + -1) -16 + 8x + (-4 * -3 + y * -3) = 5(x + -1) -16 + 8x + (12 + -3y) = 5(x + -1) Reorder the terms: -16 + 12 + 8x + -3y = 5(x + -1) Combine like terms: -16 + 12 = -4 -4 + 8x + -3y = 5(x + -1) Reorder the terms: -4 + 8x + -3y = 5(-1 + x) -4 + 8x + -3y = (-1 * 5 + x * 5) -4 + 8x + -3y = (-5 + 5x) Solving -4 + 8x + -3y = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 8x + -5x + -3y = -5 + 5x + -5x Combine like terms: 8x + -5x = 3x -4 + 3x + -3y = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 3x + -3y = -5 + 0 -4 + 3x + -3y = -5 Add '4' to each side of the equation. -4 + 3x + 4 + -3y = -5 + 4 Reorder the terms: -4 + 4 + 3x + -3y = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 3x + -3y = -5 + 4 3x + -3y = -5 + 4 Combine like terms: -5 + 4 = -1 3x + -3y = -1 Add '3y' to each side of the equation. 3x + -3y + 3y = -1 + 3y Combine like terms: -3y + 3y = 0 3x + 0 = -1 + 3y 3x = -1 + 3y Divide each side by '3'. x = -0.3333333333 + y Simplifying x = -0.3333333333 + y
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