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Simplifying 1.5x + -0.5(x + 8) = 1 Reorder the terms: 1.5x + -0.5(8 + x) = 1 1.5x + (8 * -0.5 + x * -0.5) = 1 1.5x + (-4 + -0.5x) = 1 Reorder the terms: -4 + 1.5x + -0.5x = 1 Combine like terms: 1.5x + -0.5x = 1x -4 + 1x = 1 Solving -4 + 1x = 1 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 + 1x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 1 + 4 1x = 1 + 4 Combine like terms: 1 + 4 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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