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Simplifying 3 + 9(x + -2) = 6 + -9(x + -6) Reorder the terms: 3 + 9(-2 + x) = 6 + -9(x + -6) 3 + (-2 * 9 + x * 9) = 6 + -9(x + -6) 3 + (-18 + 9x) = 6 + -9(x + -6) Combine like terms: 3 + -18 = -15 -15 + 9x = 6 + -9(x + -6) Reorder the terms: -15 + 9x = 6 + -9(-6 + x) -15 + 9x = 6 + (-6 * -9 + x * -9) -15 + 9x = 6 + (54 + -9x) Combine like terms: 6 + 54 = 60 -15 + 9x = 60 + -9x Solving -15 + 9x = 60 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -15 + 9x + 9x = 60 + -9x + 9x Combine like terms: 9x + 9x = 18x -15 + 18x = 60 + -9x + 9x Combine like terms: -9x + 9x = 0 -15 + 18x = 60 + 0 -15 + 18x = 60 Add '15' to each side of the equation. -15 + 15 + 18x = 60 + 15 Combine like terms: -15 + 15 = 0 0 + 18x = 60 + 15 18x = 60 + 15 Combine like terms: 60 + 15 = 75 18x = 75 Divide each side by '18'. x = 4.166666667 Simplifying x = 4.166666667
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