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Simplifying 0.2 + -0.1(3 + -4x) = -0.5(x + -6) 0.2 + (3 * -0.1 + -4x * -0.1) = -0.5(x + -6) 0.2 + (-0.3 + 0.4x) = -0.5(x + -6) Combine like terms: 0.2 + -0.3 = -0.1 -0.1 + 0.4x = -0.5(x + -6) Reorder the terms: -0.1 + 0.4x = -0.5(-6 + x) -0.1 + 0.4x = (-6 * -0.5 + x * -0.5) -0.1 + 0.4x = (3 + -0.5x) Solving -0.1 + 0.4x = 3 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -0.1 + 0.4x + 0.5x = 3 + -0.5x + 0.5x Combine like terms: 0.4x + 0.5x = 0.9x -0.1 + 0.9x = 3 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -0.1 + 0.9x = 3 + 0.0 -0.1 + 0.9x = 3 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.9x = 3 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.9x = 3 + 0.1 0.9x = 3 + 0.1 Combine like terms: 3 + 0.1 = 3.1 0.9x = 3.1 Divide each side by '0.9'. x = 3.444444444 Simplifying x = 3.444444444
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