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Simplifying 3x + 4(z + 5) = 31 Reorder the terms: 3x + 4(5 + z) = 31 3x + (5 * 4 + z * 4) = 31 3x + (20 + 4z) = 31 Reorder the terms: 20 + 3x + 4z = 31 Solving 20 + 3x + 4z = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 3x + -20 + 4z = 31 + -20 Reorder the terms: 20 + -20 + 3x + 4z = 31 + -20 Combine like terms: 20 + -20 = 0 0 + 3x + 4z = 31 + -20 3x + 4z = 31 + -20 Combine like terms: 31 + -20 = 11 3x + 4z = 11 Add '-4z' to each side of the equation. 3x + 4z + -4z = 11 + -4z Combine like terms: 4z + -4z = 0 3x + 0 = 11 + -4z 3x = 11 + -4z Divide each side by '3'. x = 3.666666667 + -1.333333333z Simplifying x = 3.666666667 + -1.333333333z
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