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Simplifying 5(2x + 7) + 2(3x + 4) = 8 Reorder the terms: 5(7 + 2x) + 2(3x + 4) = 8 (7 * 5 + 2x * 5) + 2(3x + 4) = 8 (35 + 10x) + 2(3x + 4) = 8 Reorder the terms: 35 + 10x + 2(4 + 3x) = 8 35 + 10x + (4 * 2 + 3x * 2) = 8 35 + 10x + (8 + 6x) = 8 Reorder the terms: 35 + 8 + 10x + 6x = 8 Combine like terms: 35 + 8 = 43 43 + 10x + 6x = 8 Combine like terms: 10x + 6x = 16x 43 + 16x = 8 Solving 43 + 16x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 16x = 8 + -43 Combine like terms: 43 + -43 = 0 0 + 16x = 8 + -43 16x = 8 + -43 Combine like terms: 8 + -43 = -35 16x = -35 Divide each side by '16'. x = -2.1875 Simplifying x = -2.1875
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