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Simplifying 1 + 6(x + -2) = 11 + -6(x + -6) Reorder the terms: 1 + 6(-2 + x) = 11 + -6(x + -6) 1 + (-2 * 6 + x * 6) = 11 + -6(x + -6) 1 + (-12 + 6x) = 11 + -6(x + -6) Combine like terms: 1 + -12 = -11 -11 + 6x = 11 + -6(x + -6) Reorder the terms: -11 + 6x = 11 + -6(-6 + x) -11 + 6x = 11 + (-6 * -6 + x * -6) -11 + 6x = 11 + (36 + -6x) Combine like terms: 11 + 36 = 47 -11 + 6x = 47 + -6x Solving -11 + 6x = 47 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -11 + 6x + 6x = 47 + -6x + 6x Combine like terms: 6x + 6x = 12x -11 + 12x = 47 + -6x + 6x Combine like terms: -6x + 6x = 0 -11 + 12x = 47 + 0 -11 + 12x = 47 Add '11' to each side of the equation. -11 + 11 + 12x = 47 + 11 Combine like terms: -11 + 11 = 0 0 + 12x = 47 + 11 12x = 47 + 11 Combine like terms: 47 + 11 = 58 12x = 58 Divide each side by '12'. x = 4.833333333 Simplifying x = 4.833333333
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