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Simplifying 1 + 3(x + -2) = 11 + -9(x + -6) Reorder the terms: 1 + 3(-2 + x) = 11 + -9(x + -6) 1 + (-2 * 3 + x * 3) = 11 + -9(x + -6) 1 + (-6 + 3x) = 11 + -9(x + -6) Combine like terms: 1 + -6 = -5 -5 + 3x = 11 + -9(x + -6) Reorder the terms: -5 + 3x = 11 + -9(-6 + x) -5 + 3x = 11 + (-6 * -9 + x * -9) -5 + 3x = 11 + (54 + -9x) Combine like terms: 11 + 54 = 65 -5 + 3x = 65 + -9x Solving -5 + 3x = 65 + -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. -5 + 3x + 9x = 65 + -9x + 9x Combine like terms: 3x + 9x = 12x -5 + 12x = 65 + -9x + 9x Combine like terms: -9x + 9x = 0 -5 + 12x = 65 + 0 -5 + 12x = 65 Add '5' to each side of the equation. -5 + 5 + 12x = 65 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 65 + 5 12x = 65 + 5 Combine like terms: 65 + 5 = 70 12x = 70 Divide each side by '12'. x = 5.833333333 Simplifying x = 5.833333333
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