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Simplifying 4(8x + 2) + 5(2x + 7) = 0 Reorder the terms: 4(2 + 8x) + 5(2x + 7) = 0 (2 * 4 + 8x * 4) + 5(2x + 7) = 0 (8 + 32x) + 5(2x + 7) = 0 Reorder the terms: 8 + 32x + 5(7 + 2x) = 0 8 + 32x + (7 * 5 + 2x * 5) = 0 8 + 32x + (35 + 10x) = 0 Reorder the terms: 8 + 35 + 32x + 10x = 0 Combine like terms: 8 + 35 = 43 43 + 32x + 10x = 0 Combine like terms: 32x + 10x = 42x 43 + 42x = 0 Solving 43 + 42x = 0 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 + 42x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 42x = 0 + -43 42x = 0 + -43 Combine like terms: 0 + -43 = -43 42x = -43 Divide each side by '42'. x = -1.023809524 Simplifying x = -1.023809524
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