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Simplifying 2x + 4y + -1(6 + 3z) = 2y + -3z + 2 2x + 4y + (6 * -1 + 3z * -1) = 2y + -3z + 2 2x + 4y + (-6 + -3z) = 2y + -3z + 2 Reorder the terms: -6 + 2x + 4y + -3z = 2y + -3z + 2 Reorder the terms: -6 + 2x + 4y + -3z = 2 + 2y + -3z Add '3z' to each side of the equation. -6 + 2x + 4y + -3z + 3z = 2 + 2y + -3z + 3z Combine like terms: -3z + 3z = 0 -6 + 2x + 4y + 0 = 2 + 2y + -3z + 3z -6 + 2x + 4y = 2 + 2y + -3z + 3z Combine like terms: -3z + 3z = 0 -6 + 2x + 4y = 2 + 2y + 0 -6 + 2x + 4y = 2 + 2y Solving -6 + 2x + 4y = 2 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2x + 6 + 4y = 2 + 6 + 2y Reorder the terms: -6 + 6 + 2x + 4y = 2 + 6 + 2y Combine like terms: -6 + 6 = 0 0 + 2x + 4y = 2 + 6 + 2y 2x + 4y = 2 + 6 + 2y Combine like terms: 2 + 6 = 8 2x + 4y = 8 + 2y Add '-4y' to each side of the equation. 2x + 4y + -4y = 8 + 2y + -4y Combine like terms: 4y + -4y = 0 2x + 0 = 8 + 2y + -4y 2x = 8 + 2y + -4y Combine like terms: 2y + -4y = -2y 2x = 8 + -2y Divide each side by '2'. x = 4 + -1y Simplifying x = 4 + -1y
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