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Simplifying -2(x + -5) = 6(2 + -0.5x) Reorder the terms: -2(-5 + x) = 6(2 + -0.5x) (-5 * -2 + x * -2) = 6(2 + -0.5x) (10 + -2x) = 6(2 + -0.5x) 10 + -2x = (2 * 6 + -0.5x * 6) 10 + -2x = (12 + -3x) Solving 10 + -2x = 12 + -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. 10 + -2x + 3x = 12 + -3x + 3x Combine like terms: -2x + 3x = 1x 10 + 1x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 1x = 12 + 0 10 + 1x = 12 Add '-10' to each side of the equation. 10 + -10 + 1x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 12 + -10 1x = 12 + -10 Combine like terms: 12 + -10 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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