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Simplifying (0.7) * x + (0.8) * x = 0.5(x + 4) Combine like terms: 0.7x + 0.8x = 1.5x 1.5x = 0.5(x + 4) Reorder the terms: 1.5x = 0.5(4 + x) 1.5x = (4 * 0.5 + x * 0.5) 1.5x = (2 + 0.5x) Solving 1.5x = 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. 1.5x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: 1.5x + -0.5x = 1x 1x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1x = 2 + 0.0 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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