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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 = 22x 43 + 22x = 0 Solving 43 + 22x = 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 + 22x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 22x = 0 + -43 22x = 0 + -43 Combine like terms: 0 + -43 = -43 22x = -43 Divide each side by '22'. x = -1.954545455 Simplifying x = -1.954545455
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