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Simplifying 4.5(8x + 5) + -4(4.5x + 1.5) = 0 Reorder the terms: 4.5(5 + 8x) + -4(4.5x + 1.5) = 0 (5 * 4.5 + 8x * 4.5) + -4(4.5x + 1.5) = 0 (22.5 + 36x) + -4(4.5x + 1.5) = 0 Reorder the terms: 22.5 + 36x + -4(1.5 + 4.5x) = 0 22.5 + 36x + (1.5 * -4 + 4.5x * -4) = 0 22.5 + 36x + (-6 + -18x) = 0 Reorder the terms: 22.5 + -6 + 36x + -18x = 0 Combine like terms: 22.5 + -6 = 16.5 16.5 + 36x + -18x = 0 Combine like terms: 36x + -18x = 18x 16.5 + 18x = 0 Solving 16.5 + 18x = 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 + 18x = 0 + -16.5 Combine like terms: 16.5 + -16.5 = 0.0 0.0 + 18x = 0 + -16.5 18x = 0 + -16.5 Combine like terms: 0 + -16.5 = -16.5 18x = -16.5 Divide each side by '18'. x = -0.9166666667 Simplifying x = -0.9166666667
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