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Simplifying 1 + 6(x + -3) = 9 + -5(x + -1) Reorder the terms: 1 + 6(-3 + x) = 9 + -5(x + -1) 1 + (-3 * 6 + x * 6) = 9 + -5(x + -1) 1 + (-18 + 6x) = 9 + -5(x + -1) Combine like terms: 1 + -18 = -17 -17 + 6x = 9 + -5(x + -1) Reorder the terms: -17 + 6x = 9 + -5(-1 + x) -17 + 6x = 9 + (-1 * -5 + x * -5) -17 + 6x = 9 + (5 + -5x) Combine like terms: 9 + 5 = 14 -17 + 6x = 14 + -5x Solving -17 + 6x = 14 + -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. -17 + 6x + 5x = 14 + -5x + 5x Combine like terms: 6x + 5x = 11x -17 + 11x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 -17 + 11x = 14 + 0 -17 + 11x = 14 Add '17' to each side of the equation. -17 + 17 + 11x = 14 + 17 Combine like terms: -17 + 17 = 0 0 + 11x = 14 + 17 11x = 14 + 17 Combine like terms: 14 + 17 = 31 11x = 31 Divide each side by '11'. x = 2.818181818 Simplifying x = 2.818181818
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