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Simplifying x + 5y + -2x + 4z + -1 = 21 Reorder the terms: -1 + x + -2x + 5y + 4z = 21 Combine like terms: x + -2x = -1x -1 + -1x + 5y + 4z = 21 Solving -1 + -1x + 5y + 4z = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1x + 5y + 1 + 4z = 21 + 1 Reorder the terms: -1 + 1 + -1x + 5y + 4z = 21 + 1 Combine like terms: -1 + 1 = 0 0 + -1x + 5y + 4z = 21 + 1 -1x + 5y + 4z = 21 + 1 Combine like terms: 21 + 1 = 22 -1x + 5y + 4z = 22 Add '-5y' to each side of the equation. -1x + 5y + -5y + 4z = 22 + -5y Combine like terms: 5y + -5y = 0 -1x + 0 + 4z = 22 + -5y -1x + 4z = 22 + -5y Add '-4z' to each side of the equation. -1x + 4z + -4z = 22 + -5y + -4z Combine like terms: 4z + -4z = 0 -1x + 0 = 22 + -5y + -4z -1x = 22 + -5y + -4z Divide each side by '-1'. x = -22 + 5y + 4z Simplifying x = -22 + 5y + 4z
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