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Simplifying 0.8x + -0.6(5 + -2x) = 0.5(x + -4) 0.8x + (5 * -0.6 + -2x * -0.6) = 0.5(x + -4) 0.8x + (-3 + 1.2x) = 0.5(x + -4) Reorder the terms: -3 + 0.8x + 1.2x = 0.5(x + -4) Combine like terms: 0.8x + 1.2x = 2x -3 + 2x = 0.5(x + -4) Reorder the terms: -3 + 2x = 0.5(-4 + x) -3 + 2x = (-4 * 0.5 + x * 0.5) -3 + 2x = (-2 + 0.5x) Solving -3 + 2x = -2 + 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. -3 + 2x + -0.5x = -2 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x -3 + 1.5x = -2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3 + 1.5x = -2 + 0.0 -3 + 1.5x = -2 Add '3' to each side of the equation. -3 + 3 + 1.5x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 1.5x = -2 + 3 1.5x = -2 + 3 Combine like terms: -2 + 3 = 1 1.5x = 1 Divide each side by '1.5'. x = 0.6666666667 Simplifying x = 0.6666666667
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