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Simplifying 5x + -0.5(x + 4) = 1 Reorder the terms: 5x + -0.5(4 + x) = 1 5x + (4 * -0.5 + x * -0.5) = 1 5x + (-2 + -0.5x) = 1 Reorder the terms: -2 + 5x + -0.5x = 1 Combine like terms: 5x + -0.5x = 4.5x -2 + 4.5x = 1 Solving -2 + 4.5x = 1 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 + 4.5x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 4.5x = 1 + 2 4.5x = 1 + 2 Combine like terms: 1 + 2 = 3 4.5x = 3 Divide each side by '4.5'. x = 0.6666666667 Simplifying x = 0.6666666667
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