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Simplifying 6(x + -1) = 9 + -1(5x + 3) Reorder the terms: 6(-1 + x) = 9 + -1(5x + 3) (-1 * 6 + x * 6) = 9 + -1(5x + 3) (-6 + 6x) = 9 + -1(5x + 3) Reorder the terms: -6 + 6x = 9 + -1(3 + 5x) -6 + 6x = 9 + (3 * -1 + 5x * -1) -6 + 6x = 9 + (-3 + -5x) Combine like terms: 9 + -3 = 6 -6 + 6x = 6 + -5x Solving -6 + 6x = 6 + -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. -6 + 6x + 5x = 6 + -5x + 5x Combine like terms: 6x + 5x = 11x -6 + 11x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 11x = 6 + 0 -6 + 11x = 6 Add '6' to each side of the equation. -6 + 6 + 11x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 6 + 6 11x = 6 + 6 Combine like terms: 6 + 6 = 12 11x = 12 Divide each side by '11'. x = 1.090909091 Simplifying x = 1.090909091
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