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Simplifying 0.5(4x + -3) + 5.5 = 4 + 2 Reorder the terms: 0.5(-3 + 4x) + 5.5 = 4 + 2 (-3 * 0.5 + 4x * 0.5) + 5.5 = 4 + 2 (-1.5 + 2x) + 5.5 = 4 + 2 Reorder the terms: -1.5 + 5.5 + 2x = 4 + 2 Combine like terms: -1.5 + 5.5 = 4 4 + 2x = 4 + 2 Combine like terms: 4 + 2 = 6 4 + 2x = 6 Solving 4 + 2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 6 + -4 2x = 6 + -4 Combine like terms: 6 + -4 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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