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Simplifying -1(0.5 + -6x) = 4(5x + 3) (0.5 * -1 + -6x * -1) = 4(5x + 3) (-0.5 + 6x) = 4(5x + 3) Reorder the terms: -0.5 + 6x = 4(3 + 5x) -0.5 + 6x = (3 * 4 + 5x * 4) -0.5 + 6x = (12 + 20x) Solving -0.5 + 6x = 12 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -0.5 + 6x + -20x = 12 + 20x + -20x Combine like terms: 6x + -20x = -14x -0.5 + -14x = 12 + 20x + -20x Combine like terms: 20x + -20x = 0 -0.5 + -14x = 12 + 0 -0.5 + -14x = 12 Add '0.5' to each side of the equation. -0.5 + 0.5 + -14x = 12 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -14x = 12 + 0.5 -14x = 12 + 0.5 Combine like terms: 12 + 0.5 = 12.5 -14x = 12.5 Divide each side by '-14'. x = -0.8928571429 Simplifying x = -0.8928571429
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