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Simplifying 1 + 2x + 7y + 4z = 45 Solving 1 + 2x + 7y + 4z = 45 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 + 2x + 7y + -1 + 4z = 45 + -1 Reorder the terms: 1 + -1 + 2x + 7y + 4z = 45 + -1 Combine like terms: 1 + -1 = 0 0 + 2x + 7y + 4z = 45 + -1 2x + 7y + 4z = 45 + -1 Combine like terms: 45 + -1 = 44 2x + 7y + 4z = 44 Add '-7y' to each side of the equation. 2x + 7y + -7y + 4z = 44 + -7y Combine like terms: 7y + -7y = 0 2x + 0 + 4z = 44 + -7y 2x + 4z = 44 + -7y Add '-4z' to each side of the equation. 2x + 4z + -4z = 44 + -7y + -4z Combine like terms: 4z + -4z = 0 2x + 0 = 44 + -7y + -4z 2x = 44 + -7y + -4z Divide each side by '2'. x = 22 + -3.5y + -2z Simplifying x = 22 + -3.5y + -2z
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