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Simplifying 6(2x + -3) = (5x + 7) Reorder the terms: 6(-3 + 2x) = (5x + 7) (-3 * 6 + 2x * 6) = (5x + 7) (-18 + 12x) = (5x + 7) Reorder the terms: -18 + 12x = (7 + 5x) Remove parenthesis around (7 + 5x) -18 + 12x = 7 + 5x Solving -18 + 12x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 12x + -5x = 7 + 5x + -5x Combine like terms: 12x + -5x = 7x -18 + 7x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 7x = 7 + 0 -18 + 7x = 7 Add '18' to each side of the equation. -18 + 18 + 7x = 7 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 7 + 18 7x = 7 + 18 Combine like terms: 7 + 18 = 25 7x = 25 Divide each side by '7'. x = 3.571428571 Simplifying x = 3.571428571
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