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Simplifying 4(2.5x + 1.5) + -4.5(4x + 5) = 0 Reorder the terms: 4(1.5 + 2.5x) + -4.5(4x + 5) = 0 (1.5 * 4 + 2.5x * 4) + -4.5(4x + 5) = 0 (6 + 10x) + -4.5(4x + 5) = 0 Reorder the terms: 6 + 10x + -4.5(5 + 4x) = 0 6 + 10x + (5 * -4.5 + 4x * -4.5) = 0 6 + 10x + (-22.5 + -18x) = 0 Reorder the terms: 6 + -22.5 + 10x + -18x = 0 Combine like terms: 6 + -22.5 = -16.5 -16.5 + 10x + -18x = 0 Combine like terms: 10x + -18x = -8x -16.5 + -8x = 0 Solving -16.5 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16.5' to each side of the equation. -16.5 + 16.5 + -8x = 0 + 16.5 Combine like terms: -16.5 + 16.5 = 0.0 0.0 + -8x = 0 + 16.5 -8x = 0 + 16.5 Combine like terms: 0 + 16.5 = 16.5 -8x = 16.5 Divide each side by '-8'. x = -2.0625 Simplifying x = -2.0625
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