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Simplifying 4(3x + -3) = 5x + -33 Reorder the terms: 4(-3 + 3x) = 5x + -33 (-3 * 4 + 3x * 4) = 5x + -33 (-12 + 12x) = 5x + -33 Reorder the terms: -12 + 12x = -33 + 5x Solving -12 + 12x = -33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 12x + -5x = -33 + 5x + -5x Combine like terms: 12x + -5x = 7x -12 + 7x = -33 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 7x = -33 + 0 -12 + 7x = -33 Add '12' to each side of the equation. -12 + 12 + 7x = -33 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = -33 + 12 7x = -33 + 12 Combine like terms: -33 + 12 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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