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Simplifying 9 + x = -1(1 + 4x) 9 + x = (1 * -1 + 4x * -1) 9 + x = (-1 + -4x) Solving 9 + x = -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. 9 + x + 4x = -1 + -4x + 4x Combine like terms: x + 4x = 5x 9 + 5x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 5x = -1 + 0 9 + 5x = -1 Add '-9' to each side of the equation. 9 + -9 + 5x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = -1 + -9 5x = -1 + -9 Combine like terms: -1 + -9 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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