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Simplifying -33 + 6x = 3(7x + -6) Reorder the terms: -33 + 6x = 3(-6 + 7x) -33 + 6x = (-6 * 3 + 7x * 3) -33 + 6x = (-18 + 21x) Solving -33 + 6x = -18 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -33 + 6x + -21x = -18 + 21x + -21x Combine like terms: 6x + -21x = -15x -33 + -15x = -18 + 21x + -21x Combine like terms: 21x + -21x = 0 -33 + -15x = -18 + 0 -33 + -15x = -18 Add '33' to each side of the equation. -33 + 33 + -15x = -18 + 33 Combine like terms: -33 + 33 = 0 0 + -15x = -18 + 33 -15x = -18 + 33 Combine like terms: -18 + 33 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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