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Simplifying 3(X + -2) + 8x = 4 + -3(-2 + -3x) Reorder the terms: 3(-2 + X) + 8x = 4 + -3(-2 + -3x) (-2 * 3 + X * 3) + 8x = 4 + -3(-2 + -3x) (-6 + 3X) + 8x = 4 + -3(-2 + -3x) -6 + 3X + 8x = 4 + (-2 * -3 + -3x * -3) -6 + 3X + 8x = 4 + (6 + 9x) Combine like terms: 4 + 6 = 10 -6 + 3X + 8x = 10 + 9x Solving -6 + 3X + 8x = 10 + 9x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3X + 6 + 8x = 10 + 6 + 9x Reorder the terms: -6 + 6 + 3X + 8x = 10 + 6 + 9x Combine like terms: -6 + 6 = 0 0 + 3X + 8x = 10 + 6 + 9x 3X + 8x = 10 + 6 + 9x Combine like terms: 10 + 6 = 16 3X + 8x = 16 + 9x Add '-8x' to each side of the equation. 3X + 8x + -8x = 16 + 9x + -8x Combine like terms: 8x + -8x = 0 3X + 0 = 16 + 9x + -8x 3X = 16 + 9x + -8x Combine like terms: 9x + -8x = 1x 3X = 16 + 1x Divide each side by '3'. X = 5.333333333 + 0.3333333333x Simplifying X = 5.333333333 + 0.3333333333x
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