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Simplifying 3(3x + -5) = -3x + 33 Reorder the terms: 3(-5 + 3x) = -3x + 33 (-5 * 3 + 3x * 3) = -3x + 33 (-15 + 9x) = -3x + 33 Reorder the terms: -15 + 9x = 33 + -3x Solving -15 + 9x = 33 + -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 + 9x + 3x = 33 + -3x + 3x Combine like terms: 9x + 3x = 12x -15 + 12x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 12x = 33 + 0 -15 + 12x = 33 Add '15' to each side of the equation. -15 + 15 + 12x = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 33 + 15 12x = 33 + 15 Combine like terms: 33 + 15 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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