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Simplifying 0.4(3 + -1x) + -0.6(2x + -3) = 0 (3 * 0.4 + -1x * 0.4) + -0.6(2x + -3) = 0 (1.2 + -0.4x) + -0.6(2x + -3) = 0 Reorder the terms: 1.2 + -0.4x + -0.6(-3 + 2x) = 0 1.2 + -0.4x + (-3 * -0.6 + 2x * -0.6) = 0 1.2 + -0.4x + (1.8 + -1.2x) = 0 Reorder the terms: 1.2 + 1.8 + -0.4x + -1.2x = 0 Combine like terms: 1.2 + 1.8 = 3 3 + -0.4x + -1.2x = 0 Combine like terms: -0.4x + -1.2x = -1.6x 3 + -1.6x = 0 Solving 3 + -1.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1.6x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.6x = 0 + -3 -1.6x = 0 + -3 Combine like terms: 0 + -3 = -3 -1.6x = -3 Divide each side by '-1.6'. x = 1.875 Simplifying x = 1.875
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