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Simplifying 3(4x + -1z) + 5x = 30 + -1x (4x * 3 + -1z * 3) + 5x = 30 + -1x (12x + -3z) + 5x = 30 + -1x Reorder the terms: 12x + 5x + -3z = 30 + -1x Combine like terms: 12x + 5x = 17x 17x + -3z = 30 + -1x Solving 17x + -3z = 30 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 17x + x + -3z = 30 + -1x + x Combine like terms: 17x + x = 18x 18x + -3z = 30 + -1x + x Combine like terms: -1x + x = 0 18x + -3z = 30 + 0 18x + -3z = 30 Add '3z' to each side of the equation. 18x + -3z + 3z = 30 + 3z Combine like terms: -3z + 3z = 0 18x + 0 = 30 + 3z 18x = 30 + 3z Divide each side by '18'. x = 1.666666667 + 0.1666666667z Simplifying x = 1.666666667 + 0.1666666667z
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