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Simplifying 0.3x + 30(0.7) = 0.62(x + 30) Multiply 30 * 0.7 0.3x + 21 = 0.62(x + 30) Reorder the terms: 21 + 0.3x = 0.62(x + 30) Reorder the terms: 21 + 0.3x = 0.62(30 + x) 21 + 0.3x = (30 * 0.62 + x * 0.62) 21 + 0.3x = (18.6 + 0.62x) Solving 21 + 0.3x = 18.6 + 0.62x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.62x' to each side of the equation. 21 + 0.3x + -0.62x = 18.6 + 0.62x + -0.62x Combine like terms: 0.3x + -0.62x = -0.32x 21 + -0.32x = 18.6 + 0.62x + -0.62x Combine like terms: 0.62x + -0.62x = 0.00 21 + -0.32x = 18.6 + 0.00 21 + -0.32x = 18.6 Add '-21' to each side of the equation. 21 + -21 + -0.32x = 18.6 + -21 Combine like terms: 21 + -21 = 0 0 + -0.32x = 18.6 + -21 -0.32x = 18.6 + -21 Combine like terms: 18.6 + -21 = -2.4 -0.32x = -2.4 Divide each side by '-0.32'. x = 7.5 Simplifying x = 7.5
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