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Simplifying 3(x + 0.75) + 2(x + 1.50) = 0 Reorder the terms: 3(0.75 + x) + 2(x + 1.50) = 0 (0.75 * 3 + x * 3) + 2(x + 1.50) = 0 (2.25 + 3x) + 2(x + 1.50) = 0 Reorder the terms: 2.25 + 3x + 2(1.50 + x) = 0 2.25 + 3x + (1.50 * 2 + x * 2) = 0 2.25 + 3x + (3 + 2x) = 0 Reorder the terms: 2.25 + 3 + 3x + 2x = 0 Combine like terms: 2.25 + 3 = 5.25 5.25 + 3x + 2x = 0 Combine like terms: 3x + 2x = 5x 5.25 + 5x = 0 Solving 5.25 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + 5x = 0 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + 5x = 0 + -5.25 5x = 0 + -5.25 Combine like terms: 0 + -5.25 = -5.25 5x = -5.25 Divide each side by '5'. x = -1.05 Simplifying x = -1.05
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