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Simplifying 3(2x + -3) = 3(x + 5) Reorder the terms: 3(-3 + 2x) = 3(x + 5) (-3 * 3 + 2x * 3) = 3(x + 5) (-9 + 6x) = 3(x + 5) Reorder the terms: -9 + 6x = 3(5 + x) -9 + 6x = (5 * 3 + x * 3) -9 + 6x = (15 + 3x) Solving -9 + 6x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 6x + -3x = 15 + 3x + -3x Combine like terms: 6x + -3x = 3x -9 + 3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 3x = 15 + 0 -9 + 3x = 15 Add '9' to each side of the equation. -9 + 9 + 3x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 15 + 9 3x = 15 + 9 Combine like terms: 15 + 9 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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