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Simplifying 1.5x + 0.5(x + -4) = 6 Reorder the terms: 1.5x + 0.5(-4 + x) = 6 1.5x + (-4 * 0.5 + x * 0.5) = 6 1.5x + (-2 + 0.5x) = 6 Reorder the terms: -2 + 1.5x + 0.5x = 6 Combine like terms: 1.5x + 0.5x = 2x -2 + 2x = 6 Solving -2 + 2x = 6 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 + 2x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 6 + 2 2x = 6 + 2 Combine like terms: 6 + 2 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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