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Simplifying 4(5x + 3) + -4(3x + 4) = 3(x + -8) + y Reorder the terms: 4(3 + 5x) + -4(3x + 4) = 3(x + -8) + y (3 * 4 + 5x * 4) + -4(3x + 4) = 3(x + -8) + y (12 + 20x) + -4(3x + 4) = 3(x + -8) + y Reorder the terms: 12 + 20x + -4(4 + 3x) = 3(x + -8) + y 12 + 20x + (4 * -4 + 3x * -4) = 3(x + -8) + y 12 + 20x + (-16 + -12x) = 3(x + -8) + y Reorder the terms: 12 + -16 + 20x + -12x = 3(x + -8) + y Combine like terms: 12 + -16 = -4 -4 + 20x + -12x = 3(x + -8) + y Combine like terms: 20x + -12x = 8x -4 + 8x = 3(x + -8) + y Reorder the terms: -4 + 8x = 3(-8 + x) + y -4 + 8x = (-8 * 3 + x * 3) + y -4 + 8x = (-24 + 3x) + y Solving -4 + 8x = -24 + 3x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 8x + -3x = -24 + 3x + -3x + y Combine like terms: 8x + -3x = 5x -4 + 5x = -24 + 3x + -3x + y Combine like terms: 3x + -3x = 0 -4 + 5x = -24 + 0 + y -4 + 5x = -24 + y Add '4' to each side of the equation. -4 + 4 + 5x = -24 + 4 + y Combine like terms: -4 + 4 = 0 0 + 5x = -24 + 4 + y 5x = -24 + 4 + y Combine like terms: -24 + 4 = -20 5x = -20 + y Divide each side by '5'. x = -4 + 0.2y Simplifying x = -4 + 0.2y
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