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Simplifying -33 + 9x = -2(3x + 9) + 12x Reorder the terms: -33 + 9x = -2(9 + 3x) + 12x -33 + 9x = (9 * -2 + 3x * -2) + 12x -33 + 9x = (-18 + -6x) + 12x Combine like terms: -6x + 12x = 6x -33 + 9x = -18 + 6x Solving -33 + 9x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -33 + 9x + -6x = -18 + 6x + -6x Combine like terms: 9x + -6x = 3x -33 + 3x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -33 + 3x = -18 + 0 -33 + 3x = -18 Add '33' to each side of the equation. -33 + 33 + 3x = -18 + 33 Combine like terms: -33 + 33 = 0 0 + 3x = -18 + 33 3x = -18 + 33 Combine like terms: -18 + 33 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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