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Simplifying 4x + 9 = -1(1 + 6x) Reorder the terms: 9 + 4x = -1(1 + 6x) 9 + 4x = (1 * -1 + 6x * -1) 9 + 4x = (-1 + -6x) Solving 9 + 4x = -1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + 4x + 6x = -1 + -6x + 6x Combine like terms: 4x + 6x = 10x 9 + 10x = -1 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 10x = -1 + 0 9 + 10x = -1 Add '-9' to each side of the equation. 9 + -9 + 10x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = -1 + -9 10x = -1 + -9 Combine like terms: -1 + -9 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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