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Simplifying 8(X + -2) = 6(X + 4) Reorder the terms: 8(-2 + X) = 6(X + 4) (-2 * 8 + X * 8) = 6(X + 4) (-16 + 8X) = 6(X + 4) Reorder the terms: -16 + 8X = 6(4 + X) -16 + 8X = (4 * 6 + X * 6) -16 + 8X = (24 + 6X) Solving -16 + 8X = 24 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -16 + 8X + -6X = 24 + 6X + -6X Combine like terms: 8X + -6X = 2X -16 + 2X = 24 + 6X + -6X Combine like terms: 6X + -6X = 0 -16 + 2X = 24 + 0 -16 + 2X = 24 Add '16' to each side of the equation. -16 + 16 + 2X = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 2X = 24 + 16 2X = 24 + 16 Combine like terms: 24 + 16 = 40 2X = 40 Divide each side by '2'. X = 20 Simplifying X = 20
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