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Simplifying 6(4x + -1(2 + -5y + 2x) + 2y) = 0 Reorder the terms: 6(4x + -1(2 + 2x + -5y) + 2y) = 0 6(4x + (2 * -1 + 2x * -1 + -5y * -1) + 2y) = 0 6(4x + (-2 + -2x + 5y) + 2y) = 0 Reorder the terms: 6(-2 + 4x + -2x + 5y + 2y) = 0 Combine like terms: 4x + -2x = 2x 6(-2 + 2x + 5y + 2y) = 0 Combine like terms: 5y + 2y = 7y 6(-2 + 2x + 7y) = 0 (-2 * 6 + 2x * 6 + 7y * 6) = 0 (-12 + 12x + 42y) = 0 Solving -12 + 12x + 42y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12x + 12 + 42y = 0 + 12 Reorder the terms: -12 + 12 + 12x + 42y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12x + 42y = 0 + 12 12x + 42y = 0 + 12 Combine like terms: 0 + 12 = 12 12x + 42y = 12 Add '-42y' to each side of the equation. 12x + 42y + -42y = 12 + -42y Combine like terms: 42y + -42y = 0 12x + 0 = 12 + -42y 12x = 12 + -42y Divide each side by '12'. x = 1 + -3.5y Simplifying x = 1 + -3.5y
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