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Simplifying 3[-2(x + 3)] = 5(x + -3) Reorder the terms: 3[-2(3 + x)] = 5(x + -3) 3[(3 * -2 + x * -2)] = 5(x + -3) 3[(-6 + -2x)] = 5(x + -3) [-6 * 3 + -2x * 3] = 5(x + -3) [-18 + -6x] = 5(x + -3) Reorder the terms: -18 + -6x = 5(-3 + x) -18 + -6x = (-3 * 5 + x * 5) -18 + -6x = (-15 + 5x) Solving -18 + -6x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + -6x + -5x = -15 + 5x + -5x Combine like terms: -6x + -5x = -11x -18 + -11x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -11x = -15 + 0 -18 + -11x = -15 Add '18' to each side of the equation. -18 + 18 + -11x = -15 + 18 Combine like terms: -18 + 18 = 0 0 + -11x = -15 + 18 -11x = -15 + 18 Combine like terms: -15 + 18 = 3 -11x = 3 Divide each side by '-11'. x = -0.2727272727 Simplifying x = -0.2727272727
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