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Simplifying 3(2x + -8) + -3 = 3(X + -4) + 6 Reorder the terms: 3(-8 + 2x) + -3 = 3(X + -4) + 6 (-8 * 3 + 2x * 3) + -3 = 3(X + -4) + 6 (-24 + 6x) + -3 = 3(X + -4) + 6 Reorder the terms: -24 + -3 + 6x = 3(X + -4) + 6 Combine like terms: -24 + -3 = -27 -27 + 6x = 3(X + -4) + 6 Reorder the terms: -27 + 6x = 3(-4 + X) + 6 -27 + 6x = (-4 * 3 + X * 3) + 6 -27 + 6x = (-12 + 3X) + 6 Reorder the terms: -27 + 6x = -12 + 6 + 3X Combine like terms: -12 + 6 = -6 -27 + 6x = -6 + 3X Solving -27 + 6x = -6 + 3X 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 + 6x = -6 + 27 + 3X Combine like terms: -27 + 27 = 0 0 + 6x = -6 + 27 + 3X 6x = -6 + 27 + 3X Combine like terms: -6 + 27 = 21 6x = 21 + 3X Divide each side by '6'. x = 3.5 + 0.5X Simplifying x = 3.5 + 0.5X
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