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Simplifying 6(3x + -3) = 3(5x + 8) Reorder the terms: 6(-3 + 3x) = 3(5x + 8) (-3 * 6 + 3x * 6) = 3(5x + 8) (-18 + 18x) = 3(5x + 8) Reorder the terms: -18 + 18x = 3(8 + 5x) -18 + 18x = (8 * 3 + 5x * 3) -18 + 18x = (24 + 15x) Solving -18 + 18x = 24 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -18 + 18x + -15x = 24 + 15x + -15x Combine like terms: 18x + -15x = 3x -18 + 3x = 24 + 15x + -15x Combine like terms: 15x + -15x = 0 -18 + 3x = 24 + 0 -18 + 3x = 24 Add '18' to each side of the equation. -18 + 18 + 3x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 24 + 18 3x = 24 + 18 Combine like terms: 24 + 18 = 42 3x = 42 Divide each side by '3'. x = 14 Simplifying x = 14
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