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Simplifying 3x + -33 = 2x + -1(7x + 9) Reorder the terms: -33 + 3x = 2x + -1(7x + 9) Reorder the terms: -33 + 3x = 2x + -1(9 + 7x) -33 + 3x = 2x + (9 * -1 + 7x * -1) -33 + 3x = 2x + (-9 + -7x) Reorder the terms: -33 + 3x = -9 + 2x + -7x Combine like terms: 2x + -7x = -5x -33 + 3x = -9 + -5x Solving -33 + 3x = -9 + -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. -33 + 3x + 5x = -9 + -5x + 5x Combine like terms: 3x + 5x = 8x -33 + 8x = -9 + -5x + 5x Combine like terms: -5x + 5x = 0 -33 + 8x = -9 + 0 -33 + 8x = -9 Add '33' to each side of the equation. -33 + 33 + 8x = -9 + 33 Combine like terms: -33 + 33 = 0 0 + 8x = -9 + 33 8x = -9 + 33 Combine like terms: -9 + 33 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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