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Simplifying -0.5(x + -6) = 3x + 1 Reorder the terms: -0.5(-6 + x) = 3x + 1 (-6 * -0.5 + x * -0.5) = 3x + 1 (3 + -0.5x) = 3x + 1 Reorder the terms: 3 + -0.5x = 1 + 3x Solving 3 + -0.5x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + -0.5x + -3x = 1 + 3x + -3x Combine like terms: -0.5x + -3x = -3.5x 3 + -3.5x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -3.5x = 1 + 0 3 + -3.5x = 1 Add '-3' to each side of the equation. 3 + -3 + -3.5x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -3.5x = 1 + -3 -3.5x = 1 + -3 Combine like terms: 1 + -3 = -2 -3.5x = -2 Divide each side by '-3.5'. x = 0.5714285714 Simplifying x = 0.5714285714
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