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Simplifying 0.5(19x + 4) = 0.8(5x + 15) Reorder the terms: 0.5(4 + 19x) = 0.8(5x + 15) (4 * 0.5 + 19x * 0.5) = 0.8(5x + 15) (2 + 9.5x) = 0.8(5x + 15) Reorder the terms: 2 + 9.5x = 0.8(15 + 5x) 2 + 9.5x = (15 * 0.8 + 5x * 0.8) 2 + 9.5x = (12 + 4x) Solving 2 + 9.5x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 9.5x + -4x = 12 + 4x + -4x Combine like terms: 9.5x + -4x = 5.5x 2 + 5.5x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 5.5x = 12 + 0 2 + 5.5x = 12 Add '-2' to each side of the equation. 2 + -2 + 5.5x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5.5x = 12 + -2 5.5x = 12 + -2 Combine like terms: 12 + -2 = 10 5.5x = 10 Divide each side by '5.5'. x = 1.818181818 Simplifying x = 1.818181818
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