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Simplifying -0.02(50) + 0.5x = 0.3(50 + x) Multiply -0.02 * 50 -1 + 0.5x = 0.3(50 + x) -1 + 0.5x = (50 * 0.3 + x * 0.3) -1 + 0.5x = (15 + 0.3x) Solving -1 + 0.5x = 15 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -1 + 0.5x + -0.3x = 15 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x -1 + 0.2x = 15 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -1 + 0.2x = 15 + 0.0 -1 + 0.2x = 15 Add '1' to each side of the equation. -1 + 1 + 0.2x = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 0.2x = 15 + 1 0.2x = 15 + 1 Combine like terms: 15 + 1 = 16 0.2x = 16 Divide each side by '0.2'. x = 80 Simplifying x = 80
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