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Simplifying 0.9x + -0.1(10 + -4x) = -0.4(x + -6) 0.9x + (10 * -0.1 + -4x * -0.1) = -0.4(x + -6) 0.9x + (-1 + 0.4x) = -0.4(x + -6) Reorder the terms: -1 + 0.9x + 0.4x = -0.4(x + -6) Combine like terms: 0.9x + 0.4x = 1.3x -1 + 1.3x = -0.4(x + -6) Reorder the terms: -1 + 1.3x = -0.4(-6 + x) -1 + 1.3x = (-6 * -0.4 + x * -0.4) -1 + 1.3x = (2.4 + -0.4x) Solving -1 + 1.3x = 2.4 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -1 + 1.3x + 0.4x = 2.4 + -0.4x + 0.4x Combine like terms: 1.3x + 0.4x = 1.7x -1 + 1.7x = 2.4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -1 + 1.7x = 2.4 + 0.0 -1 + 1.7x = 2.4 Add '1' to each side of the equation. -1 + 1 + 1.7x = 2.4 + 1 Combine like terms: -1 + 1 = 0 0 + 1.7x = 2.4 + 1 1.7x = 2.4 + 1 Combine like terms: 2.4 + 1 = 3.4 1.7x = 3.4 Divide each side by '1.7'. x = 2 Simplifying x = 2
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