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Simplifying 33 + -6x = 3(5x + -3) Reorder the terms: 33 + -6x = 3(-3 + 5x) 33 + -6x = (-3 * 3 + 5x * 3) 33 + -6x = (-9 + 15x) Solving 33 + -6x = -9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 33 + -6x + -15x = -9 + 15x + -15x Combine like terms: -6x + -15x = -21x 33 + -21x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 33 + -21x = -9 + 0 33 + -21x = -9 Add '-33' to each side of the equation. 33 + -33 + -21x = -9 + -33 Combine like terms: 33 + -33 = 0 0 + -21x = -9 + -33 -21x = -9 + -33 Combine like terms: -9 + -33 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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