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Simplifying -0.5(x + -6) + 0.5(x + 2) = x + -9 Reorder the terms: -0.5(-6 + x) + 0.5(x + 2) = x + -9 (-6 * -0.5 + x * -0.5) + 0.5(x + 2) = x + -9 (3 + -0.5x) + 0.5(x + 2) = x + -9 Reorder the terms: 3 + -0.5x + 0.5(2 + x) = x + -9 3 + -0.5x + (2 * 0.5 + x * 0.5) = x + -9 3 + -0.5x + (1 + 0.5x) = x + -9 Reorder the terms: 3 + 1 + -0.5x + 0.5x = x + -9 Combine like terms: 3 + 1 = 4 4 + -0.5x + 0.5x = x + -9 Combine like terms: -0.5x + 0.5x = 0.0 4 + 0.0 = x + -9 4 = x + -9 Reorder the terms: 4 = -9 + x Solving 4 = -9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -1x = -9 + x + -1x Combine like terms: x + -1x = 0 4 + -1x = -9 + 0 4 + -1x = -9 Add '-4' to each side of the equation. 4 + -4 + -1x = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -9 + -4 -1x = -9 + -4 Combine like terms: -9 + -4 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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