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Simplifying 5(2 + -3x) + -7x = 11x + 9 (2 * 5 + -3x * 5) + -7x = 11x + 9 (10 + -15x) + -7x = 11x + 9 Combine like terms: -15x + -7x = -22x 10 + -22x = 11x + 9 Reorder the terms: 10 + -22x = 9 + 11x Solving 10 + -22x = 9 + 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. 10 + -22x + -11x = 9 + 11x + -11x Combine like terms: -22x + -11x = -33x 10 + -33x = 9 + 11x + -11x Combine like terms: 11x + -11x = 0 10 + -33x = 9 + 0 10 + -33x = 9 Add '-10' to each side of the equation. 10 + -10 + -33x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -33x = 9 + -10 -33x = 9 + -10 Combine like terms: 9 + -10 = -1 -33x = -1 Divide each side by '-33'. x = 0.0303030303 Simplifying x = 0.0303030303
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