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Simplifying 6(2x + -3) = 3(3x + 5) Reorder the terms: 6(-3 + 2x) = 3(3x + 5) (-3 * 6 + 2x * 6) = 3(3x + 5) (-18 + 12x) = 3(3x + 5) Reorder the terms: -18 + 12x = 3(5 + 3x) -18 + 12x = (5 * 3 + 3x * 3) -18 + 12x = (15 + 9x) Solving -18 + 12x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -18 + 12x + -9x = 15 + 9x + -9x Combine like terms: 12x + -9x = 3x -18 + 3x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + 3x = 15 + 0 -18 + 3x = 15 Add '18' to each side of the equation. -18 + 18 + 3x = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 15 + 18 3x = 15 + 18 Combine like terms: 15 + 18 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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