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Simplifying 8x + -6(3 + -2x) = 6x + 21 8x + (3 * -6 + -2x * -6) = 6x + 21 8x + (-18 + 12x) = 6x + 21 Reorder the terms: -18 + 8x + 12x = 6x + 21 Combine like terms: 8x + 12x = 20x -18 + 20x = 6x + 21 Reorder the terms: -18 + 20x = 21 + 6x Solving -18 + 20x = 21 + 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. -18 + 20x + -6x = 21 + 6x + -6x Combine like terms: 20x + -6x = 14x -18 + 14x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 14x = 21 + 0 -18 + 14x = 21 Add '18' to each side of the equation. -18 + 18 + 14x = 21 + 18 Combine like terms: -18 + 18 = 0 0 + 14x = 21 + 18 14x = 21 + 18 Combine like terms: 21 + 18 = 39 14x = 39 Divide each side by '14'. x = 2.785714286 Simplifying x = 2.785714286
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