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Simplifying 6x + -6(x + -2) = 22 + 11 + 3x Reorder the terms: 6x + -6(-2 + x) = 22 + 11 + 3x 6x + (-2 * -6 + x * -6) = 22 + 11 + 3x 6x + (12 + -6x) = 22 + 11 + 3x Reorder the terms: 12 + 6x + -6x = 22 + 11 + 3x Combine like terms: 6x + -6x = 0 12 + 0 = 22 + 11 + 3x 12 = 22 + 11 + 3x Combine like terms: 22 + 11 = 33 12 = 33 + 3x Solving 12 = 33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -3x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -3x = 33 + 0 12 + -3x = 33 Add '-12' to each side of the equation. 12 + -12 + -3x = 33 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 33 + -12 -3x = 33 + -12 Combine like terms: 33 + -12 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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