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Simplifying 2(x + y) + -4(x + y) = 8(x + 2) + -8(y + -2) (x * 2 + y * 2) + -4(x + y) = 8(x + 2) + -8(y + -2) (2x + 2y) + -4(x + y) = 8(x + 2) + -8(y + -2) 2x + 2y + (x * -4 + y * -4) = 8(x + 2) + -8(y + -2) 2x + 2y + (-4x + -4y) = 8(x + 2) + -8(y + -2) Reorder the terms: 2x + -4x + 2y + -4y = 8(x + 2) + -8(y + -2) Combine like terms: 2x + -4x = -2x -2x + 2y + -4y = 8(x + 2) + -8(y + -2) Combine like terms: 2y + -4y = -2y -2x + -2y = 8(x + 2) + -8(y + -2) Reorder the terms: -2x + -2y = 8(2 + x) + -8(y + -2) -2x + -2y = (2 * 8 + x * 8) + -8(y + -2) -2x + -2y = (16 + 8x) + -8(y + -2) Reorder the terms: -2x + -2y = 16 + 8x + -8(-2 + y) -2x + -2y = 16 + 8x + (-2 * -8 + y * -8) -2x + -2y = 16 + 8x + (16 + -8y) Reorder the terms: -2x + -2y = 16 + 16 + 8x + -8y Combine like terms: 16 + 16 = 32 -2x + -2y = 32 + 8x + -8y Solving -2x + -2y = 32 + 8x + -8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2x + -8x + -2y = 32 + 8x + -8x + -8y Combine like terms: -2x + -8x = -10x -10x + -2y = 32 + 8x + -8x + -8y Combine like terms: 8x + -8x = 0 -10x + -2y = 32 + 0 + -8y -10x + -2y = 32 + -8y Add '2y' to each side of the equation. -10x + -2y + 2y = 32 + -8y + 2y Combine like terms: -2y + 2y = 0 -10x + 0 = 32 + -8y + 2y -10x = 32 + -8y + 2y Combine like terms: -8y + 2y = -6y -10x = 32 + -6y Divide each side by '-10'. x = -3.2 + 0.6y Simplifying x = -3.2 + 0.6y
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