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Simplifying 0.4x + -0.2(15 + -4x) = -0.9(x + -6) 0.4x + (15 * -0.2 + -4x * -0.2) = -0.9(x + -6) 0.4x + (-3 + 0.8x) = -0.9(x + -6) Reorder the terms: -3 + 0.4x + 0.8x = -0.9(x + -6) Combine like terms: 0.4x + 0.8x = 1.2x -3 + 1.2x = -0.9(x + -6) Reorder the terms: -3 + 1.2x = -0.9(-6 + x) -3 + 1.2x = (-6 * -0.9 + x * -0.9) -3 + 1.2x = (5.4 + -0.9x) Solving -3 + 1.2x = 5.4 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. -3 + 1.2x + 0.9x = 5.4 + -0.9x + 0.9x Combine like terms: 1.2x + 0.9x = 2.1x -3 + 2.1x = 5.4 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 -3 + 2.1x = 5.4 + 0.0 -3 + 2.1x = 5.4 Add '3' to each side of the equation. -3 + 3 + 2.1x = 5.4 + 3 Combine like terms: -3 + 3 = 0 0 + 2.1x = 5.4 + 3 2.1x = 5.4 + 3 Combine like terms: 5.4 + 3 = 8.4 2.1x = 8.4 Divide each side by '2.1'. x = 4 Simplifying x = 4
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