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Simplifying X + 0.5(6 + -1x) = 0.25(6) X + (6 * 0.5 + -1x * 0.5) = 0.25(6) X + (3 + -0.5x) = 0.25(6) Reorder the terms: 3 + X + -0.5x = 0.25(6) Multiply 0.25 * 6 3 + X + -0.5x = 1.5 Solving 3 + X + -0.5x = 1.5 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + X + -3 + -0.5x = 1.5 + -3 Reorder the terms: 3 + -3 + X + -0.5x = 1.5 + -3 Combine like terms: 3 + -3 = 0 0 + X + -0.5x = 1.5 + -3 X + -0.5x = 1.5 + -3 Combine like terms: 1.5 + -3 = -1.5 X + -0.5x = -1.5 Add '0.5x' to each side of the equation. X + -0.5x + 0.5x = -1.5 + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 X + 0.0 = -1.5 + 0.5x X = -1.5 + 0.5x Simplifying X = -1.5 + 0.5x
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