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Simplifying -6(3x + 4) + 3 = 8x + -2 Reorder the terms: -6(4 + 3x) + 3 = 8x + -2 (4 * -6 + 3x * -6) + 3 = 8x + -2 (-24 + -18x) + 3 = 8x + -2 Reorder the terms: -24 + 3 + -18x = 8x + -2 Combine like terms: -24 + 3 = -21 -21 + -18x = 8x + -2 Reorder the terms: -21 + -18x = -2 + 8x Solving -21 + -18x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -21 + -18x + -8x = -2 + 8x + -8x Combine like terms: -18x + -8x = -26x -21 + -26x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -26x = -2 + 0 -21 + -26x = -2 Add '21' to each side of the equation. -21 + 21 + -26x = -2 + 21 Combine like terms: -21 + 21 = 0 0 + -26x = -2 + 21 -26x = -2 + 21 Combine like terms: -2 + 21 = 19 -26x = 19 Divide each side by '-26'. x = -0.7307692308 Simplifying x = -0.7307692308
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