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Simplifying 2(x + 5) = 4(y + -4x) Reorder the terms: 2(5 + x) = 4(y + -4x) (5 * 2 + x * 2) = 4(y + -4x) (10 + 2x) = 4(y + -4x) Reorder the terms: 10 + 2x = 4(-4x + y) 10 + 2x = (-4x * 4 + y * 4) 10 + 2x = (-16x + 4y) Solving 10 + 2x = -16x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 10 + 2x + 16x = -16x + 16x + 4y Combine like terms: 2x + 16x = 18x 10 + 18x = -16x + 16x + 4y Combine like terms: -16x + 16x = 0 10 + 18x = 0 + 4y 10 + 18x = 4y Add '-10' to each side of the equation. 10 + -10 + 18x = -10 + 4y Combine like terms: 10 + -10 = 0 0 + 18x = -10 + 4y 18x = -10 + 4y Divide each side by '18'. x = -0.5555555556 + 0.2222222222y Simplifying x = -0.5555555556 + 0.2222222222y
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