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Simplifying 5z + 3(x + 4) = 76 Reorder the terms: 5z + 3(4 + x) = 76 5z + (4 * 3 + x * 3) = 76 5z + (12 + 3x) = 76 Reorder the terms: 12 + 3x + 5z = 76 Solving 12 + 3x + 5z = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 3x + -12 + 5z = 76 + -12 Reorder the terms: 12 + -12 + 3x + 5z = 76 + -12 Combine like terms: 12 + -12 = 0 0 + 3x + 5z = 76 + -12 3x + 5z = 76 + -12 Combine like terms: 76 + -12 = 64 3x + 5z = 64 Add '-5z' to each side of the equation. 3x + 5z + -5z = 64 + -5z Combine like terms: 5z + -5z = 0 3x + 0 = 64 + -5z 3x = 64 + -5z Divide each side by '3'. x = 21.33333333 + -1.666666667z Simplifying x = 21.33333333 + -1.666666667z
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