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Simplifying 0.5(4x + -3) + 2x = 10 Reorder the terms: 0.5(-3 + 4x) + 2x = 10 (-3 * 0.5 + 4x * 0.5) + 2x = 10 (-1.5 + 2x) + 2x = 10 Combine like terms: 2x + 2x = 4x -1.5 + 4x = 10 Solving -1.5 + 4x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + 4x = 10 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 4x = 10 + 1.5 4x = 10 + 1.5 Combine like terms: 10 + 1.5 = 11.5 4x = 11.5 Divide each side by '4'. x = 2.875 Simplifying x = 2.875
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