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Simplifying -2(3x + 1) = 0.5x + 5 Reorder the terms: -2(1 + 3x) = 0.5x + 5 (1 * -2 + 3x * -2) = 0.5x + 5 (-2 + -6x) = 0.5x + 5 Reorder the terms: -2 + -6x = 5 + 0.5x Solving -2 + -6x = 5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -2 + -6x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: -6x + -0.5x = -6.5x -2 + -6.5x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -2 + -6.5x = 5 + 0.0 -2 + -6.5x = 5 Add '2' to each side of the equation. -2 + 2 + -6.5x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -6.5x = 5 + 2 -6.5x = 5 + 2 Combine like terms: 5 + 2 = 7 -6.5x = 7 Divide each side by '-6.5'. x = -1.076923077 Simplifying x = -1.076923077
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