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Simplifying 6(2x + 4) + 4(x + -1) = 68 Reorder the terms: 6(4 + 2x) + 4(x + -1) = 68 (4 * 6 + 2x * 6) + 4(x + -1) = 68 (24 + 12x) + 4(x + -1) = 68 Reorder the terms: 24 + 12x + 4(-1 + x) = 68 24 + 12x + (-1 * 4 + x * 4) = 68 24 + 12x + (-4 + 4x) = 68 Reorder the terms: 24 + -4 + 12x + 4x = 68 Combine like terms: 24 + -4 = 20 20 + 12x + 4x = 68 Combine like terms: 12x + 4x = 16x 20 + 16x = 68 Solving 20 + 16x = 68 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 + -20 + 16x = 68 + -20 Combine like terms: 20 + -20 = 0 0 + 16x = 68 + -20 16x = 68 + -20 Combine like terms: 68 + -20 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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