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Simplifying x + 4z = 7(3 + x + -2) Reorder the terms: x + 4z = 7(3 + -2 + x) Combine like terms: 3 + -2 = 1 x + 4z = 7(1 + x) x + 4z = (1 * 7 + x * 7) x + 4z = (7 + 7x) Solving x + 4z = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. x + -7x + 4z = 7 + 7x + -7x Combine like terms: x + -7x = -6x -6x + 4z = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -6x + 4z = 7 + 0 -6x + 4z = 7 Add '-4z' to each side of the equation. -6x + 4z + -4z = 7 + -4z Combine like terms: 4z + -4z = 0 -6x + 0 = 7 + -4z -6x = 7 + -4z Divide each side by '-6'. x = -1.166666667 + 0.6666666667z Simplifying x = -1.166666667 + 0.6666666667z
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