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Simplifying 1.5(x + 1) + -1(0.5x + 2) = 0 Reorder the terms: 1.5(1 + x) + -1(0.5x + 2) = 0 (1 * 1.5 + x * 1.5) + -1(0.5x + 2) = 0 (1.5 + 1.5x) + -1(0.5x + 2) = 0 Reorder the terms: 1.5 + 1.5x + -1(2 + 0.5x) = 0 1.5 + 1.5x + (2 * -1 + 0.5x * -1) = 0 1.5 + 1.5x + (-2 + -0.5x) = 0 Reorder the terms: 1.5 + -2 + 1.5x + -0.5x = 0 Combine like terms: 1.5 + -2 = -0.5 -0.5 + 1.5x + -0.5x = 0 Combine like terms: 1.5x + -0.5x = 1x -0.5 + 1x = 0 Solving -0.5 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 1x = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 1x = 0 + 0.5 1x = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 1x = 0.5 Divide each side by '1'. x = 0.5 Simplifying x = 0.5
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