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Simplifying 3x + -4(y + -1z) = 2(x + y) + -1z 3x + (y * -4 + -1z * -4) = 2(x + y) + -1z 3x + (-4y + 4z) = 2(x + y) + -1z 3x + -4y + 4z = (x * 2 + y * 2) + -1z 3x + -4y + 4z = (2x + 2y) + -1z Solving 3x + -4y + 4z = 2x + 2y + -1z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3x + -4y + -2x + 4z = 2x + 2y + -2x + -1z Reorder the terms: 3x + -2x + -4y + 4z = 2x + 2y + -2x + -1z Combine like terms: 3x + -2x = 1x 1x + -4y + 4z = 2x + 2y + -2x + -1z Reorder the terms: 1x + -4y + 4z = 2x + -2x + 2y + -1z Combine like terms: 2x + -2x = 0 1x + -4y + 4z = 0 + 2y + -1z 1x + -4y + 4z = 2y + -1z Add '4y' to each side of the equation. 1x + -4y + 4y + 4z = 2y + 4y + -1z Combine like terms: -4y + 4y = 0 1x + 0 + 4z = 2y + 4y + -1z 1x + 4z = 2y + 4y + -1z Combine like terms: 2y + 4y = 6y 1x + 4z = 6y + -1z Add '-4z' to each side of the equation. 1x + 4z + -4z = 6y + -1z + -4z Combine like terms: 4z + -4z = 0 1x + 0 = 6y + -1z + -4z 1x = 6y + -1z + -4z Combine like terms: -1z + -4z = -5z 1x = 6y + -5z Divide each side by '1'. x = 6y + -5z Simplifying x = 6y + -5z
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