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