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Simplifying 8(4x + 7) = (-5x + -7) Reorder the terms: 8(7 + 4x) = (-5x + -7) (7 * 8 + 4x * 8) = (-5x + -7) (56 + 32x) = (-5x + -7) Reorder the terms: 56 + 32x = (-7 + -5x) Remove parenthesis around (-7 + -5x) 56 + 32x = -7 + -5x Solving 56 + 32x = -7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 56 + 32x + 5x = -7 + -5x + 5x Combine like terms: 32x + 5x = 37x 56 + 37x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 56 + 37x = -7 + 0 56 + 37x = -7 Add '-56' to each side of the equation. 56 + -56 + 37x = -7 + -56 Combine like terms: 56 + -56 = 0 0 + 37x = -7 + -56 37x = -7 + -56 Combine like terms: -7 + -56 = -63 37x = -63 Divide each side by '37'. x = -1.702702703 Simplifying x = -1.702702703
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