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Simplifying 0.9(-3x + 5) + 0.6(9x + -7.5) = 0 Reorder the terms: 0.9(5 + -3x) + 0.6(9x + -7.5) = 0 (5 * 0.9 + -3x * 0.9) + 0.6(9x + -7.5) = 0 (4.5 + -2.7x) + 0.6(9x + -7.5) = 0 Reorder the terms: 4.5 + -2.7x + 0.6(-7.5 + 9x) = 0 4.5 + -2.7x + (-7.5 * 0.6 + 9x * 0.6) = 0 4.5 + -2.7x + (-4.5 + 5.4x) = 0 Reorder the terms: 4.5 + -4.5 + -2.7x + 5.4x = 0 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -2.7x + 5.4x = 0 -2.7x + 5.4x = 0 Combine like terms: -2.7x + 5.4x = 2.7x 2.7x = 0 Solving 2.7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2.7'. x = 0 Simplifying x = 0
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