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Simplifying 14 + -1(-7x) + 4z + -1(-32) + 7z + -5x = 0 Remove parenthesis around (-7x) 14 + -1 * -7x + 4z + -1(-32) + 7z + -5x = 0 Multiply -1 * -7 14 + 7x + 4z + -1(-32) + 7z + -5x = 0 Multiply -1 * -32 14 + 7x + 4z + 32 + 7z + -5x = 0 Reorder the terms: 14 + 32 + 7x + -5x + 4z + 7z = 0 Combine like terms: 14 + 32 = 46 46 + 7x + -5x + 4z + 7z = 0 Combine like terms: 7x + -5x = 2x 46 + 2x + 4z + 7z = 0 Combine like terms: 4z + 7z = 11z 46 + 2x + 11z = 0 Solving 46 + 2x + 11z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + 2x + -46 + 11z = 0 + -46 Reorder the terms: 46 + -46 + 2x + 11z = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 2x + 11z = 0 + -46 2x + 11z = 0 + -46 Combine like terms: 0 + -46 = -46 2x + 11z = -46 Add '-11z' to each side of the equation. 2x + 11z + -11z = -46 + -11z Combine like terms: 11z + -11z = 0 2x + 0 = -46 + -11z 2x = -46 + -11z Divide each side by '2'. x = -23 + -5.5z Simplifying x = -23 + -5.5z
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