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Simplifying 8(x + 5) + 7(2x + 4) = 2 Reorder the terms: 8(5 + x) + 7(2x + 4) = 2 (5 * 8 + x * 8) + 7(2x + 4) = 2 (40 + 8x) + 7(2x + 4) = 2 Reorder the terms: 40 + 8x + 7(4 + 2x) = 2 40 + 8x + (4 * 7 + 2x * 7) = 2 40 + 8x + (28 + 14x) = 2 Reorder the terms: 40 + 28 + 8x + 14x = 2 Combine like terms: 40 + 28 = 68 68 + 8x + 14x = 2 Combine like terms: 8x + 14x = 22x 68 + 22x = 2 Solving 68 + 22x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + 22x = 2 + -68 Combine like terms: 68 + -68 = 0 0 + 22x = 2 + -68 22x = 2 + -68 Combine like terms: 2 + -68 = -66 22x = -66 Divide each side by '22'. x = -3 Simplifying x = -3
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