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Simplifying 0.4x + -0.9(9 + -3x) = -0.6(x + -5) 0.4x + (9 * -0.9 + -3x * -0.9) = -0.6(x + -5) 0.4x + (-8.1 + 2.7x) = -0.6(x + -5) Reorder the terms: -8.1 + 0.4x + 2.7x = -0.6(x + -5) Combine like terms: 0.4x + 2.7x = 3.1x -8.1 + 3.1x = -0.6(x + -5) Reorder the terms: -8.1 + 3.1x = -0.6(-5 + x) -8.1 + 3.1x = (-5 * -0.6 + x * -0.6) -8.1 + 3.1x = (3 + -0.6x) Solving -8.1 + 3.1x = 3 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -8.1 + 3.1x + 0.6x = 3 + -0.6x + 0.6x Combine like terms: 3.1x + 0.6x = 3.7x -8.1 + 3.7x = 3 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -8.1 + 3.7x = 3 + 0.0 -8.1 + 3.7x = 3 Add '8.1' to each side of the equation. -8.1 + 8.1 + 3.7x = 3 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + 3.7x = 3 + 8.1 3.7x = 3 + 8.1 Combine like terms: 3 + 8.1 = 11.1 3.7x = 11.1 Divide each side by '3.7'. x = 3 Simplifying x = 3
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