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Simplifying 2(2.5x + 1.5) + -3.5(4x + 5) = 0 Reorder the terms: 2(1.5 + 2.5x) + -3.5(4x + 5) = 0 (1.5 * 2 + 2.5x * 2) + -3.5(4x + 5) = 0 (3 + 5x) + -3.5(4x + 5) = 0 Reorder the terms: 3 + 5x + -3.5(5 + 4x) = 0 3 + 5x + (5 * -3.5 + 4x * -3.5) = 0 3 + 5x + (-17.5 + -14x) = 0 Reorder the terms: 3 + -17.5 + 5x + -14x = 0 Combine like terms: 3 + -17.5 = -14.5 -14.5 + 5x + -14x = 0 Combine like terms: 5x + -14x = -9x -14.5 + -9x = 0 Solving -14.5 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14.5' to each side of the equation. -14.5 + 14.5 + -9x = 0 + 14.5 Combine like terms: -14.5 + 14.5 = 0.0 0.0 + -9x = 0 + 14.5 -9x = 0 + 14.5 Combine like terms: 0 + 14.5 = 14.5 -9x = 14.5 Divide each side by '-9'. x = -1.611111111 Simplifying x = -1.611111111
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