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Simplifying x + -2(x + -2 + x + 11) = 6(6 + x + 2) Reorder the terms: x + -2(-2 + 11 + x + x) = 6(6 + x + 2) Combine like terms: -2 + 11 = 9 x + -2(9 + x + x) = 6(6 + x + 2) Combine like terms: x + x = 2x x + -2(9 + 2x) = 6(6 + x + 2) x + (9 * -2 + 2x * -2) = 6(6 + x + 2) x + (-18 + -4x) = 6(6 + x + 2) Reorder the terms: -18 + x + -4x = 6(6 + x + 2) Combine like terms: x + -4x = -3x -18 + -3x = 6(6 + x + 2) Reorder the terms: -18 + -3x = 6(6 + 2 + x) Combine like terms: 6 + 2 = 8 -18 + -3x = 6(8 + x) -18 + -3x = (8 * 6 + x * 6) -18 + -3x = (48 + 6x) Solving -18 + -3x = 48 + 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. -18 + -3x + -6x = 48 + 6x + -6x Combine like terms: -3x + -6x = -9x -18 + -9x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -9x = 48 + 0 -18 + -9x = 48 Add '18' to each side of the equation. -18 + 18 + -9x = 48 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = 48 + 18 -9x = 48 + 18 Combine like terms: 48 + 18 = 66 -9x = 66 Divide each side by '-9'. x = -7.333333333 Simplifying x = -7.333333333
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