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Simplifying 6x + -6(2 + -1x) = 11x + -9(x + -3) 6x + (2 * -6 + -1x * -6) = 11x + -9(x + -3) 6x + (-12 + 6x) = 11x + -9(x + -3) Reorder the terms: -12 + 6x + 6x = 11x + -9(x + -3) Combine like terms: 6x + 6x = 12x -12 + 12x = 11x + -9(x + -3) Reorder the terms: -12 + 12x = 11x + -9(-3 + x) -12 + 12x = 11x + (-3 * -9 + x * -9) -12 + 12x = 11x + (27 + -9x) Reorder the terms: -12 + 12x = 27 + 11x + -9x Combine like terms: 11x + -9x = 2x -12 + 12x = 27 + 2x Solving -12 + 12x = 27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 12x + -2x = 27 + 2x + -2x Combine like terms: 12x + -2x = 10x -12 + 10x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 10x = 27 + 0 -12 + 10x = 27 Add '12' to each side of the equation. -12 + 12 + 10x = 27 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 27 + 12 10x = 27 + 12 Combine like terms: 27 + 12 = 39 10x = 39 Divide each side by '10'. x = 3.9 Simplifying x = 3.9
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