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Simplifying 4(x + -1y) + z = 2x + z (x * 4 + -1y * 4) + z = 2x + z (4x + -4y) + z = 2x + z Add '-1z' to each side of the equation. 4x + -4y + z + -1z = 2x + z + -1z Combine like terms: z + -1z = 0 4x + -4y + 0 = 2x + z + -1z 4x + -4y = 2x + z + -1z Combine like terms: z + -1z = 0 4x + -4y = 2x + 0 4x + -4y = 2x Solving 4x + -4y = 2x 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. 4x + -2x + -4y = 2x + -2x Combine like terms: 4x + -2x = 2x 2x + -4y = 2x + -2x Combine like terms: 2x + -2x = 0 2x + -4y = 0 Add '4y' to each side of the equation. 2x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 2x + 0 = 0 + 4y 2x = 0 + 4y Remove the zero: 2x = 4y Divide each side by '2'. x = 2y Simplifying x = 2y
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