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Simplifying -9x + 33 = -3(x + 7) Reorder the terms: 33 + -9x = -3(x + 7) Reorder the terms: 33 + -9x = -3(7 + x) 33 + -9x = (7 * -3 + x * -3) 33 + -9x = (-21 + -3x) Solving 33 + -9x = -21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 33 + -9x + 3x = -21 + -3x + 3x Combine like terms: -9x + 3x = -6x 33 + -6x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 33 + -6x = -21 + 0 33 + -6x = -21 Add '-33' to each side of the equation. 33 + -33 + -6x = -21 + -33 Combine like terms: 33 + -33 = 0 0 + -6x = -21 + -33 -6x = -21 + -33 Combine like terms: -21 + -33 = -54 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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