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Simplifying 9[3(2x + -2) + -5(x + -1)] = 2[11(x + -1) + -79x + -10] Reorder the terms: 9[3(-2 + 2x) + -5(x + -1)] = 2[11(x + -1) + -79x + -10] 9[(-2 * 3 + 2x * 3) + -5(x + -1)] = 2[11(x + -1) + -79x + -10] 9[(-6 + 6x) + -5(x + -1)] = 2[11(x + -1) + -79x + -10] Reorder the terms: 9[-6 + 6x + -5(-1 + x)] = 2[11(x + -1) + -79x + -10] 9[-6 + 6x + (-1 * -5 + x * -5)] = 2[11(x + -1) + -79x + -10] 9[-6 + 6x + (5 + -5x)] = 2[11(x + -1) + -79x + -10] Reorder the terms: 9[-6 + 5 + 6x + -5x] = 2[11(x + -1) + -79x + -10] Combine like terms: -6 + 5 = -1 9[-1 + 6x + -5x] = 2[11(x + -1) + -79x + -10] Combine like terms: 6x + -5x = 1x 9[-1 + 1x] = 2[11(x + -1) + -79x + -10] [-1 * 9 + 1x * 9] = 2[11(x + -1) + -79x + -10] [-9 + 9x] = 2[11(x + -1) + -79x + -10] Reorder the terms: -9 + 9x = 2[11(-1 + x) + -79x + -10] -9 + 9x = 2[(-1 * 11 + x * 11) + -79x + -10] -9 + 9x = 2[(-11 + 11x) + -79x + -10] Reorder the terms: -9 + 9x = 2[-11 + -10 + 11x + -79x] Combine like terms: -11 + -10 = -21 -9 + 9x = 2[-21 + 11x + -79x] Combine like terms: 11x + -79x = -68x -9 + 9x = 2[-21 + -68x] -9 + 9x = [-21 * 2 + -68x * 2] -9 + 9x = [-42 + -136x] Solving -9 + 9x = -42 + -136x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '136x' to each side of the equation. -9 + 9x + 136x = -42 + -136x + 136x Combine like terms: 9x + 136x = 145x -9 + 145x = -42 + -136x + 136x Combine like terms: -136x + 136x = 0 -9 + 145x = -42 + 0 -9 + 145x = -42 Add '9' to each side of the equation. -9 + 9 + 145x = -42 + 9 Combine like terms: -9 + 9 = 0 0 + 145x = -42 + 9 145x = -42 + 9 Combine like terms: -42 + 9 = -33 145x = -33 Divide each side by '145'. x = -0.2275862069 Simplifying x = -0.2275862069
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