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Simplifying 3(2x + 2) + 3(4z + 2) = 117 Reorder the terms: 3(2 + 2x) + 3(4z + 2) = 117 (2 * 3 + 2x * 3) + 3(4z + 2) = 117 (6 + 6x) + 3(4z + 2) = 117 Reorder the terms: 6 + 6x + 3(2 + 4z) = 117 6 + 6x + (2 * 3 + 4z * 3) = 117 6 + 6x + (6 + 12z) = 117 Reorder the terms: 6 + 6 + 6x + 12z = 117 Combine like terms: 6 + 6 = 12 12 + 6x + 12z = 117 Solving 12 + 6x + 12z = 117 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 + 6x + -12 + 12z = 117 + -12 Reorder the terms: 12 + -12 + 6x + 12z = 117 + -12 Combine like terms: 12 + -12 = 0 0 + 6x + 12z = 117 + -12 6x + 12z = 117 + -12 Combine like terms: 117 + -12 = 105 6x + 12z = 105 Add '-12z' to each side of the equation. 6x + 12z + -12z = 105 + -12z Combine like terms: 12z + -12z = 0 6x + 0 = 105 + -12z 6x = 105 + -12z Divide each side by '6'. x = 17.5 + -2z Simplifying x = 17.5 + -2z
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