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Simplifying (0.5x + -5) = -6(-1x + 10) Reorder the terms: (-5 + 0.5x) = -6(-1x + 10) Remove parenthesis around (-5 + 0.5x) -5 + 0.5x = -6(-1x + 10) Reorder the terms: -5 + 0.5x = -6(10 + -1x) -5 + 0.5x = (10 * -6 + -1x * -6) -5 + 0.5x = (-60 + 6x) Solving -5 + 0.5x = -60 + 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. -5 + 0.5x + -6x = -60 + 6x + -6x Combine like terms: 0.5x + -6x = -5.5x -5 + -5.5x = -60 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -5.5x = -60 + 0 -5 + -5.5x = -60 Add '5' to each side of the equation. -5 + 5 + -5.5x = -60 + 5 Combine like terms: -5 + 5 = 0 0 + -5.5x = -60 + 5 -5.5x = -60 + 5 Combine like terms: -60 + 5 = -55 -5.5x = -55 Divide each side by '-5.5'. x = 10 Simplifying x = 10
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