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Simplifying 3(4x + -3) = 8x + -33 Reorder the terms: 3(-3 + 4x) = 8x + -33 (-3 * 3 + 4x * 3) = 8x + -33 (-9 + 12x) = 8x + -33 Reorder the terms: -9 + 12x = -33 + 8x Solving -9 + 12x = -33 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 12x + -8x = -33 + 8x + -8x Combine like terms: 12x + -8x = 4x -9 + 4x = -33 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + 4x = -33 + 0 -9 + 4x = -33 Add '9' to each side of the equation. -9 + 9 + 4x = -33 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = -33 + 9 4x = -33 + 9 Combine like terms: -33 + 9 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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