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Simplifying 0.18(5x + -4) = 0.5x + 0.8 Reorder the terms: 0.18(-4 + 5x) = 0.5x + 0.8 (-4 * 0.18 + 5x * 0.18) = 0.5x + 0.8 (-0.72 + 0.9x) = 0.5x + 0.8 Reorder the terms: -0.72 + 0.9x = 0.8 + 0.5x Solving -0.72 + 0.9x = 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. -0.72 + 0.9x + -0.5x = 0.8 + 0.5x + -0.5x Combine like terms: 0.9x + -0.5x = 0.4x -0.72 + 0.4x = 0.8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.72 + 0.4x = 0.8 + 0.0 -0.72 + 0.4x = 0.8 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.4x = 0.8 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.4x = 0.8 + 0.72 0.4x = 0.8 + 0.72 Combine like terms: 0.8 + 0.72 = 1.52 0.4x = 1.52 Divide each side by '0.4'. x = 3.8 Simplifying x = 3.8
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