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Simplifying 6(x + 3) = 8(5 + -1x) Reorder the terms: 6(3 + x) = 8(5 + -1x) (3 * 6 + x * 6) = 8(5 + -1x) (18 + 6x) = 8(5 + -1x) 18 + 6x = (5 * 8 + -1x * 8) 18 + 6x = (40 + -8x) Solving 18 + 6x = 40 + -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. 18 + 6x + 8x = 40 + -8x + 8x Combine like terms: 6x + 8x = 14x 18 + 14x = 40 + -8x + 8x Combine like terms: -8x + 8x = 0 18 + 14x = 40 + 0 18 + 14x = 40 Add '-18' to each side of the equation. 18 + -18 + 14x = 40 + -18 Combine like terms: 18 + -18 = 0 0 + 14x = 40 + -18 14x = 40 + -18 Combine like terms: 40 + -18 = 22 14x = 22 Divide each side by '14'. x = 1.571428571 Simplifying x = 1.571428571
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