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Simplifying 12(0.5x + -5) = 6(-1x + 10) Reorder the terms: 12(-5 + 0.5x) = 6(-1x + 10) (-5 * 12 + 0.5x * 12) = 6(-1x + 10) (-60 + 6x) = 6(-1x + 10) Reorder the terms: -60 + 6x = 6(10 + -1x) -60 + 6x = (10 * 6 + -1x * 6) -60 + 6x = (60 + -6x) Solving -60 + 6x = 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. -60 + 6x + 6x = 60 + -6x + 6x Combine like terms: 6x + 6x = 12x -60 + 12x = 60 + -6x + 6x Combine like terms: -6x + 6x = 0 -60 + 12x = 60 + 0 -60 + 12x = 60 Add '60' to each side of the equation. -60 + 60 + 12x = 60 + 60 Combine like terms: -60 + 60 = 0 0 + 12x = 60 + 60 12x = 60 + 60 Combine like terms: 60 + 60 = 120 12x = 120 Divide each side by '12'. x = 10 Simplifying x = 10
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