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Simplifying 5[4 + 2x] + -1[8x + -12] = 68 [4 * 5 + 2x * 5] + -1[8x + -12] = 68 [20 + 10x] + -1[8x + -12] = 68 Reorder the terms: 20 + 10x + -1[-12 + 8x] = 68 20 + 10x + [-12 * -1 + 8x * -1] = 68 20 + 10x + [12 + -8x] = 68 Reorder the terms: 20 + 12 + 10x + -8x = 68 Combine like terms: 20 + 12 = 32 32 + 10x + -8x = 68 Combine like terms: 10x + -8x = 2x 32 + 2x = 68 Solving 32 + 2x = 68 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 + -32 + 2x = 68 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = 68 + -32 2x = 68 + -32 Combine like terms: 68 + -32 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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