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Simplifying 9x + -33 = 3(2x + -7) + 5x Reorder the terms: -33 + 9x = 3(2x + -7) + 5x Reorder the terms: -33 + 9x = 3(-7 + 2x) + 5x -33 + 9x = (-7 * 3 + 2x * 3) + 5x -33 + 9x = (-21 + 6x) + 5x Combine like terms: 6x + 5x = 11x -33 + 9x = -21 + 11x Solving -33 + 9x = -21 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -33 + 9x + -11x = -21 + 11x + -11x Combine like terms: 9x + -11x = -2x -33 + -2x = -21 + 11x + -11x Combine like terms: 11x + -11x = 0 -33 + -2x = -21 + 0 -33 + -2x = -21 Add '33' to each side of the equation. -33 + 33 + -2x = -21 + 33 Combine like terms: -33 + 33 = 0 0 + -2x = -21 + 33 -2x = -21 + 33 Combine like terms: -21 + 33 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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