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Simplifying (4x + 7) = (9x + -33) Reorder the terms: (7 + 4x) = (9x + -33) Remove parenthesis around (7 + 4x) 7 + 4x = (9x + -33) Reorder the terms: 7 + 4x = (-33 + 9x) Remove parenthesis around (-33 + 9x) 7 + 4x = -33 + 9x Solving 7 + 4x = -33 + 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. 7 + 4x + -9x = -33 + 9x + -9x Combine like terms: 4x + -9x = -5x 7 + -5x = -33 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -5x = -33 + 0 7 + -5x = -33 Add '-7' to each side of the equation. 7 + -7 + -5x = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -33 + -7 -5x = -33 + -7 Combine like terms: -33 + -7 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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