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Simplifying 2.4(3 + -1x) + -0.6(2x + -3) = 0 (3 * 2.4 + -1x * 2.4) + -0.6(2x + -3) = 0 (7.2 + -2.4x) + -0.6(2x + -3) = 0 Reorder the terms: 7.2 + -2.4x + -0.6(-3 + 2x) = 0 7.2 + -2.4x + (-3 * -0.6 + 2x * -0.6) = 0 7.2 + -2.4x + (1.8 + -1.2x) = 0 Reorder the terms: 7.2 + 1.8 + -2.4x + -1.2x = 0 Combine like terms: 7.2 + 1.8 = 9 9 + -2.4x + -1.2x = 0 Combine like terms: -2.4x + -1.2x = -3.6x 9 + -3.6x = 0 Solving 9 + -3.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -3.6x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3.6x = 0 + -9 -3.6x = 0 + -9 Combine like terms: 0 + -9 = -9 -3.6x = -9 Divide each side by '-3.6'. x = 2.5 Simplifying x = 2.5
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