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Simplifying 6(2x + 3) = 8x + 4 + -2x Reorder the terms: 6(3 + 2x) = 8x + 4 + -2x (3 * 6 + 2x * 6) = 8x + 4 + -2x (18 + 12x) = 8x + 4 + -2x Reorder the terms: 18 + 12x = 4 + 8x + -2x Combine like terms: 8x + -2x = 6x 18 + 12x = 4 + 6x Solving 18 + 12x = 4 + 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 + 12x + -6x = 4 + 6x + -6x Combine like terms: 12x + -6x = 6x 18 + 6x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 6x = 4 + 0 18 + 6x = 4 Add '-18' to each side of the equation. 18 + -18 + 6x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 4 + -18 6x = 4 + -18 Combine like terms: 4 + -18 = -14 6x = -14 Divide each side by '6'. x = -2.333333333 Simplifying x = -2.333333333
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