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Simplifying 0.5(3x + 2) + -0.5(x + 6) = 5 Reorder the terms: 0.5(2 + 3x) + -0.5(x + 6) = 5 (2 * 0.5 + 3x * 0.5) + -0.5(x + 6) = 5 (1 + 1.5x) + -0.5(x + 6) = 5 Reorder the terms: 1 + 1.5x + -0.5(6 + x) = 5 1 + 1.5x + (6 * -0.5 + x * -0.5) = 5 1 + 1.5x + (-3 + -0.5x) = 5 Reorder the terms: 1 + -3 + 1.5x + -0.5x = 5 Combine like terms: 1 + -3 = -2 -2 + 1.5x + -0.5x = 5 Combine like terms: 1.5x + -0.5x = 1x -2 + 1x = 5 Solving -2 + 1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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