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Simplifying 6.5(2 + -2X) = 6X + 3.5 (2 * 6.5 + -2X * 6.5) = 6X + 3.5 (13 + -13X) = 6X + 3.5 Reorder the terms: 13 + -13X = 3.5 + 6X Solving 13 + -13X = 3.5 + 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. 13 + -13X + -6X = 3.5 + 6X + -6X Combine like terms: -13X + -6X = -19X 13 + -19X = 3.5 + 6X + -6X Combine like terms: 6X + -6X = 0 13 + -19X = 3.5 + 0 13 + -19X = 3.5 Add '-13' to each side of the equation. 13 + -13 + -19X = 3.5 + -13 Combine like terms: 13 + -13 = 0 0 + -19X = 3.5 + -13 -19X = 3.5 + -13 Combine like terms: 3.5 + -13 = -9.5 -19X = -9.5 Divide each side by '-19'. X = 0.5 Simplifying X = 0.5
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