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Simplifying 8x + 6(X + -3) = 7(x + -6) Reorder the terms: 8x + 6(-3 + X) = 7(x + -6) 8x + (-3 * 6 + X * 6) = 7(x + -6) 8x + (-18 + 6X) = 7(x + -6) Reorder the terms: -18 + 6X + 8x = 7(x + -6) Reorder the terms: -18 + 6X + 8x = 7(-6 + x) -18 + 6X + 8x = (-6 * 7 + x * 7) -18 + 6X + 8x = (-42 + 7x) Solving -18 + 6X + 8x = -42 + 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 6X + 18 + 8x = -42 + 18 + 7x Reorder the terms: -18 + 18 + 6X + 8x = -42 + 18 + 7x Combine like terms: -18 + 18 = 0 0 + 6X + 8x = -42 + 18 + 7x 6X + 8x = -42 + 18 + 7x Combine like terms: -42 + 18 = -24 6X + 8x = -24 + 7x Add '-8x' to each side of the equation. 6X + 8x + -8x = -24 + 7x + -8x Combine like terms: 8x + -8x = 0 6X + 0 = -24 + 7x + -8x 6X = -24 + 7x + -8x Combine like terms: 7x + -8x = -1x 6X = -24 + -1x Divide each side by '6'. X = -4 + -0.1666666667x Simplifying X = -4 + -0.1666666667x
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