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Simplifying 12x + 4 + -26 = -2(3x + -82) Reorder the terms: 4 + -26 + 12x = -2(3x + -82) Combine like terms: 4 + -26 = -22 -22 + 12x = -2(3x + -82) Reorder the terms: -22 + 12x = -2(-82 + 3x) -22 + 12x = (-82 * -2 + 3x * -2) -22 + 12x = (164 + -6x) Solving -22 + 12x = 164 + -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. -22 + 12x + 6x = 164 + -6x + 6x Combine like terms: 12x + 6x = 18x -22 + 18x = 164 + -6x + 6x Combine like terms: -6x + 6x = 0 -22 + 18x = 164 + 0 -22 + 18x = 164 Add '22' to each side of the equation. -22 + 22 + 18x = 164 + 22 Combine like terms: -22 + 22 = 0 0 + 18x = 164 + 22 18x = 164 + 22 Combine like terms: 164 + 22 = 186 18x = 186 Divide each side by '18'. x = 10.33333333 Simplifying x = 10.33333333
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