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Simplifying -0.5(x + 6) = 0.5(x + 8) Reorder the terms: -0.5(6 + x) = 0.5(x + 8) (6 * -0.5 + x * -0.5) = 0.5(x + 8) (-3 + -0.5x) = 0.5(x + 8) Reorder the terms: -3 + -0.5x = 0.5(8 + x) -3 + -0.5x = (8 * 0.5 + x * 0.5) -3 + -0.5x = (4 + 0.5x) Solving -3 + -0.5x = 4 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -3 + -0.5x + -0.5x = 4 + 0.5x + -0.5x Combine like terms: -0.5x + -0.5x = -1x -3 + -1x = 4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3 + -1x = 4 + 0.0 -3 + -1x = 4 Add '3' to each side of the equation. -3 + 3 + -1x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 4 + 3 -1x = 4 + 3 Combine like terms: 4 + 3 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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