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Simplifying 3(2x + -5) = 3(x + 3) Reorder the terms: 3(-5 + 2x) = 3(x + 3) (-5 * 3 + 2x * 3) = 3(x + 3) (-15 + 6x) = 3(x + 3) Reorder the terms: -15 + 6x = 3(3 + x) -15 + 6x = (3 * 3 + x * 3) -15 + 6x = (9 + 3x) Solving -15 + 6x = 9 + 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. -15 + 6x + -3x = 9 + 3x + -3x Combine like terms: 6x + -3x = 3x -15 + 3x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 3x = 9 + 0 -15 + 3x = 9 Add '15' to each side of the equation. -15 + 15 + 3x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 9 + 15 3x = 9 + 15 Combine like terms: 9 + 15 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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