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Simplifying 4(3x + -5y) + -8(2x + y) = 11 (3x * 4 + -5y * 4) + -8(2x + y) = 11 (12x + -20y) + -8(2x + y) = 11 12x + -20y + (2x * -8 + y * -8) = 11 12x + -20y + (-16x + -8y) = 11 Reorder the terms: 12x + -16x + -20y + -8y = 11 Combine like terms: 12x + -16x = -4x -4x + -20y + -8y = 11 Combine like terms: -20y + -8y = -28y -4x + -28y = 11 Solving -4x + -28y = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28y' to each side of the equation. -4x + -28y + 28y = 11 + 28y Combine like terms: -28y + 28y = 0 -4x + 0 = 11 + 28y -4x = 11 + 28y Divide each side by '-4'. x = -2.75 + -7y Simplifying x = -2.75 + -7y
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