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Simplifying -6 + 5(2x + -3) + -2(x + 3) = 3(2 + -1x) Reorder the terms: -6 + 5(-3 + 2x) + -2(x + 3) = 3(2 + -1x) -6 + (-3 * 5 + 2x * 5) + -2(x + 3) = 3(2 + -1x) -6 + (-15 + 10x) + -2(x + 3) = 3(2 + -1x) Reorder the terms: -6 + -15 + 10x + -2(3 + x) = 3(2 + -1x) -6 + -15 + 10x + (3 * -2 + x * -2) = 3(2 + -1x) -6 + -15 + 10x + (-6 + -2x) = 3(2 + -1x) Reorder the terms: -6 + -15 + -6 + 10x + -2x = 3(2 + -1x) Combine like terms: -6 + -15 = -21 -21 + -6 + 10x + -2x = 3(2 + -1x) Combine like terms: -21 + -6 = -27 -27 + 10x + -2x = 3(2 + -1x) Combine like terms: 10x + -2x = 8x -27 + 8x = 3(2 + -1x) -27 + 8x = (2 * 3 + -1x * 3) -27 + 8x = (6 + -3x) Solving -27 + 8x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -27 + 8x + 3x = 6 + -3x + 3x Combine like terms: 8x + 3x = 11x -27 + 11x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -27 + 11x = 6 + 0 -27 + 11x = 6 Add '27' to each side of the equation. -27 + 27 + 11x = 6 + 27 Combine like terms: -27 + 27 = 0 0 + 11x = 6 + 27 11x = 6 + 27 Combine like terms: 6 + 27 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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