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Simplifying 0.06(50) + 0.6x = 0.3(50 + x) Multiply 0.06 * 50 3 + 0.6x = 0.3(50 + x) 3 + 0.6x = (50 * 0.3 + x * 0.3) 3 + 0.6x = (15 + 0.3x) Solving 3 + 0.6x = 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. 3 + 0.6x + -0.3x = 15 + 0.3x + -0.3x Combine like terms: 0.6x + -0.3x = 0.3x 3 + 0.3x = 15 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 3 + 0.3x = 15 + 0.0 3 + 0.3x = 15 Add '-3' to each side of the equation. 3 + -3 + 0.3x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 0.3x = 15 + -3 0.3x = 15 + -3 Combine like terms: 15 + -3 = 12 0.3x = 12 Divide each side by '0.3'. x = 40 Simplifying x = 40
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