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Simplifying 7x + 6(x + 1) = 24x + -73 Reorder the terms: 7x + 6(1 + x) = 24x + -73 7x + (1 * 6 + x * 6) = 24x + -73 7x + (6 + 6x) = 24x + -73 Reorder the terms: 6 + 7x + 6x = 24x + -73 Combine like terms: 7x + 6x = 13x 6 + 13x = 24x + -73 Reorder the terms: 6 + 13x = -73 + 24x Solving 6 + 13x = -73 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 6 + 13x + -24x = -73 + 24x + -24x Combine like terms: 13x + -24x = -11x 6 + -11x = -73 + 24x + -24x Combine like terms: 24x + -24x = 0 6 + -11x = -73 + 0 6 + -11x = -73 Add '-6' to each side of the equation. 6 + -6 + -11x = -73 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = -73 + -6 -11x = -73 + -6 Combine like terms: -73 + -6 = -79 -11x = -79 Divide each side by '-11'. x = 7.181818182 Simplifying x = 7.181818182
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