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Simplifying 6(x + 3) = -5(4x + -2) + 8x Reorder the terms: 6(3 + x) = -5(4x + -2) + 8x (3 * 6 + x * 6) = -5(4x + -2) + 8x (18 + 6x) = -5(4x + -2) + 8x Reorder the terms: 18 + 6x = -5(-2 + 4x) + 8x 18 + 6x = (-2 * -5 + 4x * -5) + 8x 18 + 6x = (10 + -20x) + 8x Combine like terms: -20x + 8x = -12x 18 + 6x = 10 + -12x Solving 18 + 6x = 10 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 18 + 6x + 12x = 10 + -12x + 12x Combine like terms: 6x + 12x = 18x 18 + 18x = 10 + -12x + 12x Combine like terms: -12x + 12x = 0 18 + 18x = 10 + 0 18 + 18x = 10 Add '-18' to each side of the equation. 18 + -18 + 18x = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 18x = 10 + -18 18x = 10 + -18 Combine like terms: 10 + -18 = -8 18x = -8 Divide each side by '18'. x = -0.4444444444 Simplifying x = -0.4444444444
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