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Simplifying 0.2x + -0.4(14 + -5x) = -0.5(x + -5) 0.2x + (14 * -0.4 + -5x * -0.4) = -0.5(x + -5) 0.2x + (-5.6 + 2x) = -0.5(x + -5) Reorder the terms: -5.6 + 0.2x + 2x = -0.5(x + -5) Combine like terms: 0.2x + 2x = 2.2x -5.6 + 2.2x = -0.5(x + -5) Reorder the terms: -5.6 + 2.2x = -0.5(-5 + x) -5.6 + 2.2x = (-5 * -0.5 + x * -0.5) -5.6 + 2.2x = (2.5 + -0.5x) Solving -5.6 + 2.2x = 2.5 + -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. -5.6 + 2.2x + 0.5x = 2.5 + -0.5x + 0.5x Combine like terms: 2.2x + 0.5x = 2.7x -5.6 + 2.7x = 2.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -5.6 + 2.7x = 2.5 + 0.0 -5.6 + 2.7x = 2.5 Add '5.6' to each side of the equation. -5.6 + 5.6 + 2.7x = 2.5 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 2.7x = 2.5 + 5.6 2.7x = 2.5 + 5.6 Combine like terms: 2.5 + 5.6 = 8.1 2.7x = 8.1 Divide each side by '2.7'. x = 3 Simplifying x = 3
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