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Simplifying (1.5)(x) + -1(2.5)(1 + -1x) = 0 Multiply -1 * 2.5 1.5x + -2.5(1 + -1x) = 0 1.5x + (1 * -2.5 + -1x * -2.5) = 0 1.5x + (-2.5 + 2.5x) = 0 Reorder the terms: -2.5 + 1.5x + 2.5x = 0 Combine like terms: 1.5x + 2.5x = 4x -2.5 + 4x = 0 Solving -2.5 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + 4x = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 4x = 0 + 2.5 4x = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 4x = 2.5 Divide each side by '4'. x = 0.625 Simplifying x = 0.625
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