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Simplifying -2 = 0.5(2x + 8) + -9 Reorder the terms: -2 = 0.5(8 + 2x) + -9 -2 = (8 * 0.5 + 2x * 0.5) + -9 -2 = (4 + 1x) + -9 Reorder the terms: -2 = 4 + -9 + 1x Combine like terms: 4 + -9 = -5 -2 = -5 + 1x Solving -2 = -5 + 1x 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. -2 + -1x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + -1x = -5 + 0 -2 + -1x = -5 Add '2' to each side of the equation. -2 + 2 + -1x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -5 + 2 -1x = -5 + 2 Combine like terms: -5 + 2 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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