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Simplifying 0.5x + 0.5(x + 2) = 5 + 3(X + -3) Reorder the terms: 0.5x + 0.5(2 + x) = 5 + 3(X + -3) 0.5x + (2 * 0.5 + x * 0.5) = 5 + 3(X + -3) 0.5x + (1 + 0.5x) = 5 + 3(X + -3) Reorder the terms: 1 + 0.5x + 0.5x = 5 + 3(X + -3) Combine like terms: 0.5x + 0.5x = 1x 1 + 1x = 5 + 3(X + -3) Reorder the terms: 1 + 1x = 5 + 3(-3 + X) 1 + 1x = 5 + (-3 * 3 + X * 3) 1 + 1x = 5 + (-9 + 3X) Combine like terms: 5 + -9 = -4 1 + 1x = -4 + 3X Solving 1 + 1x = -4 + 3X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1x = -4 + -1 + 3X Combine like terms: 1 + -1 = 0 0 + 1x = -4 + -1 + 3X 1x = -4 + -1 + 3X Combine like terms: -4 + -1 = -5 1x = -5 + 3X Divide each side by '1'. x = -5 + 3X Simplifying x = -5 + 3X
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