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Simplifying 12x + 8x + 8 + -15 = -2(3x + -82) Reorder the terms: 8 + -15 + 12x + 8x = -2(3x + -82) Combine like terms: 8 + -15 = -7 -7 + 12x + 8x = -2(3x + -82) Combine like terms: 12x + 8x = 20x -7 + 20x = -2(3x + -82) Reorder the terms: -7 + 20x = -2(-82 + 3x) -7 + 20x = (-82 * -2 + 3x * -2) -7 + 20x = (164 + -6x) Solving -7 + 20x = 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. -7 + 20x + 6x = 164 + -6x + 6x Combine like terms: 20x + 6x = 26x -7 + 26x = 164 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 26x = 164 + 0 -7 + 26x = 164 Add '7' to each side of the equation. -7 + 7 + 26x = 164 + 7 Combine like terms: -7 + 7 = 0 0 + 26x = 164 + 7 26x = 164 + 7 Combine like terms: 164 + 7 = 171 26x = 171 Divide each side by '26'. x = 6.576923077 Simplifying x = 6.576923077
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