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Simplifying 3 + -2(x + 6) = 8 + 12x + 11 Reorder the terms: 3 + -2(6 + x) = 8 + 12x + 11 3 + (6 * -2 + x * -2) = 8 + 12x + 11 3 + (-12 + -2x) = 8 + 12x + 11 Combine like terms: 3 + -12 = -9 -9 + -2x = 8 + 12x + 11 Reorder the terms: -9 + -2x = 8 + 11 + 12x Combine like terms: 8 + 11 = 19 -9 + -2x = 19 + 12x Solving -9 + -2x = 19 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9 + -2x + -12x = 19 + 12x + -12x Combine like terms: -2x + -12x = -14x -9 + -14x = 19 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -14x = 19 + 0 -9 + -14x = 19 Add '9' to each side of the equation. -9 + 9 + -14x = 19 + 9 Combine like terms: -9 + 9 = 0 0 + -14x = 19 + 9 -14x = 19 + 9 Combine like terms: 19 + 9 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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