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Simplifying 2(x + 6) + 2((z + 4) + 6) = 100 Reorder the terms: 2(6 + x) + 2((z + 4) + 6) = 100 (6 * 2 + x * 2) + 2((z + 4) + 6) = 100 (12 + 2x) + 2((z + 4) + 6) = 100 Reorder the terms: 12 + 2x + 2((4 + z) + 6) = 100 Remove parenthesis around (4 + z) 12 + 2x + 2(4 + z + 6) = 100 Reorder the terms: 12 + 2x + 2(4 + 6 + z) = 100 Combine like terms: 4 + 6 = 10 12 + 2x + 2(10 + z) = 100 12 + 2x + (10 * 2 + z * 2) = 100 12 + 2x + (20 + 2z) = 100 Reorder the terms: 12 + 20 + 2x + 2z = 100 Combine like terms: 12 + 20 = 32 32 + 2x + 2z = 100 Solving 32 + 2x + 2z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 2x + -32 + 2z = 100 + -32 Reorder the terms: 32 + -32 + 2x + 2z = 100 + -32 Combine like terms: 32 + -32 = 0 0 + 2x + 2z = 100 + -32 2x + 2z = 100 + -32 Combine like terms: 100 + -32 = 68 2x + 2z = 68 Add '-2z' to each side of the equation. 2x + 2z + -2z = 68 + -2z Combine like terms: 2z + -2z = 0 2x + 0 = 68 + -2z 2x = 68 + -2z Divide each side by '2'. x = 34 + -1z Simplifying x = 34 + -1z
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