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Simplifying (7x + 8) = -1(1 + 4x) Reorder the terms: (8 + 7x) = -1(1 + 4x) Remove parenthesis around (8 + 7x) 8 + 7x = -1(1 + 4x) 8 + 7x = (1 * -1 + 4x * -1) 8 + 7x = (-1 + -4x) Solving 8 + 7x = -1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 7x + 4x = -1 + -4x + 4x Combine like terms: 7x + 4x = 11x 8 + 11x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 11x = -1 + 0 8 + 11x = -1 Add '-8' to each side of the equation. 8 + -8 + 11x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = -1 + -8 11x = -1 + -8 Combine like terms: -1 + -8 = -9 11x = -9 Divide each side by '11'. x = -0.8181818182 Simplifying x = -0.8181818182
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