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Simplifying 0.14(50) + 0.8x = 0.5(50 + x) Multiply 0.14 * 50 7 + 0.8x = 0.5(50 + x) 7 + 0.8x = (50 * 0.5 + x * 0.5) 7 + 0.8x = (25 + 0.5x) Solving 7 + 0.8x = 25 + 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. 7 + 0.8x + -0.5x = 25 + 0.5x + -0.5x Combine like terms: 0.8x + -0.5x = 0.3x 7 + 0.3x = 25 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 7 + 0.3x = 25 + 0.0 7 + 0.3x = 25 Add '-7' to each side of the equation. 7 + -7 + 0.3x = 25 + -7 Combine like terms: 7 + -7 = 0 0 + 0.3x = 25 + -7 0.3x = 25 + -7 Combine like terms: 25 + -7 = 18 0.3x = 18 Divide each side by '0.3'. x = 60 Simplifying x = 60
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