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Simplifying 0.9x + -0.3(6 + -4x) = -0.6(x + -6) 0.9x + (6 * -0.3 + -4x * -0.3) = -0.6(x + -6) 0.9x + (-1.8 + 1.2x) = -0.6(x + -6) Reorder the terms: -1.8 + 0.9x + 1.2x = -0.6(x + -6) Combine like terms: 0.9x + 1.2x = 2.1x -1.8 + 2.1x = -0.6(x + -6) Reorder the terms: -1.8 + 2.1x = -0.6(-6 + x) -1.8 + 2.1x = (-6 * -0.6 + x * -0.6) -1.8 + 2.1x = (3.6 + -0.6x) Solving -1.8 + 2.1x = 3.6 + -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. -1.8 + 2.1x + 0.6x = 3.6 + -0.6x + 0.6x Combine like terms: 2.1x + 0.6x = 2.7x -1.8 + 2.7x = 3.6 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -1.8 + 2.7x = 3.6 + 0.0 -1.8 + 2.7x = 3.6 Add '1.8' to each side of the equation. -1.8 + 1.8 + 2.7x = 3.6 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 2.7x = 3.6 + 1.8 2.7x = 3.6 + 1.8 Combine like terms: 3.6 + 1.8 = 5.4 2.7x = 5.4 Divide each side by '2.7'. x = 2 Simplifying x = 2
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