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Simplifying 3[2(x + -3) + 2] + 5(x + -3) = x + 3 Reorder the terms: 3[2(-3 + x) + 2] + 5(x + -3) = x + 3 3[(-3 * 2 + x * 2) + 2] + 5(x + -3) = x + 3 3[(-6 + 2x) + 2] + 5(x + -3) = x + 3 Reorder the terms: 3[-6 + 2 + 2x] + 5(x + -3) = x + 3 Combine like terms: -6 + 2 = -4 3[-4 + 2x] + 5(x + -3) = x + 3 [-4 * 3 + 2x * 3] + 5(x + -3) = x + 3 [-12 + 6x] + 5(x + -3) = x + 3 Reorder the terms: -12 + 6x + 5(-3 + x) = x + 3 -12 + 6x + (-3 * 5 + x * 5) = x + 3 -12 + 6x + (-15 + 5x) = x + 3 Reorder the terms: -12 + -15 + 6x + 5x = x + 3 Combine like terms: -12 + -15 = -27 -27 + 6x + 5x = x + 3 Combine like terms: 6x + 5x = 11x -27 + 11x = x + 3 Reorder the terms: -27 + 11x = 3 + x Solving -27 + 11x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -27 + 11x + -1x = 3 + x + -1x Combine like terms: 11x + -1x = 10x -27 + 10x = 3 + x + -1x Combine like terms: x + -1x = 0 -27 + 10x = 3 + 0 -27 + 10x = 3 Add '27' to each side of the equation. -27 + 27 + 10x = 3 + 27 Combine like terms: -27 + 27 = 0 0 + 10x = 3 + 27 10x = 3 + 27 Combine like terms: 3 + 27 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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