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Simplifying 3[2(x + -3) + 2] + 5(x + -3) = 0 Reorder the terms: 3[2(-3 + x) + 2] + 5(x + -3) = 0 3[(-3 * 2 + x * 2) + 2] + 5(x + -3) = 0 3[(-6 + 2x) + 2] + 5(x + -3) = 0 Reorder the terms: 3[-6 + 2 + 2x] + 5(x + -3) = 0 Combine like terms: -6 + 2 = -4 3[-4 + 2x] + 5(x + -3) = 0 [-4 * 3 + 2x * 3] + 5(x + -3) = 0 [-12 + 6x] + 5(x + -3) = 0 Reorder the terms: -12 + 6x + 5(-3 + x) = 0 -12 + 6x + (-3 * 5 + x * 5) = 0 -12 + 6x + (-15 + 5x) = 0 Reorder the terms: -12 + -15 + 6x + 5x = 0 Combine like terms: -12 + -15 = -27 -27 + 6x + 5x = 0 Combine like terms: 6x + 5x = 11x -27 + 11x = 0 Solving -27 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 11x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 11x = 0 + 27 11x = 0 + 27 Combine like terms: 0 + 27 = 27 11x = 27 Divide each side by '11'. x = 2.454545455 Simplifying x = 2.454545455
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