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Simplifying 0.8(5x + -4) = 0.5x + 0.8 Reorder the terms: 0.8(-4 + 5x) = 0.5x + 0.8 (-4 * 0.8 + 5x * 0.8) = 0.5x + 0.8 (-3.2 + 4x) = 0.5x + 0.8 Reorder the terms: -3.2 + 4x = 0.8 + 0.5x Solving -3.2 + 4x = 0.8 + 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. -3.2 + 4x + -0.5x = 0.8 + 0.5x + -0.5x Combine like terms: 4x + -0.5x = 3.5x -3.2 + 3.5x = 0.8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3.2 + 3.5x = 0.8 + 0.0 -3.2 + 3.5x = 0.8 Add '3.2' to each side of the equation. -3.2 + 3.2 + 3.5x = 0.8 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 3.5x = 0.8 + 3.2 3.5x = 0.8 + 3.2 Combine like terms: 0.8 + 3.2 = 4 3.5x = 4 Divide each side by '3.5'. x = 1.142857143 Simplifying x = 1.142857143
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