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Simplifying -4(x + 2y) + -8(2x + -4) = 0 (x * -4 + 2y * -4) + -8(2x + -4) = 0 (-4x + -8y) + -8(2x + -4) = 0 Reorder the terms: -4x + -8y + -8(-4 + 2x) = 0 -4x + -8y + (-4 * -8 + 2x * -8) = 0 -4x + -8y + (32 + -16x) = 0 Reorder the terms: 32 + -4x + -16x + -8y = 0 Combine like terms: -4x + -16x = -20x 32 + -20x + -8y = 0 Solving 32 + -20x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -20x + -32 + -8y = 0 + -32 Reorder the terms: 32 + -32 + -20x + -8y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -20x + -8y = 0 + -32 -20x + -8y = 0 + -32 Combine like terms: 0 + -32 = -32 -20x + -8y = -32 Add '8y' to each side of the equation. -20x + -8y + 8y = -32 + 8y Combine like terms: -8y + 8y = 0 -20x + 0 = -32 + 8y -20x = -32 + 8y Divide each side by '-20'. x = 1.6 + -0.4y Simplifying x = 1.6 + -0.4y
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