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Simplifying 0.5x + 0.5(30) = 0.3(x + 30) Multiply 0.5 * 30 0.5x + 15 = 0.3(x + 30) Reorder the terms: 15 + 0.5x = 0.3(x + 30) Reorder the terms: 15 + 0.5x = 0.3(30 + x) 15 + 0.5x = (30 * 0.3 + x * 0.3) 15 + 0.5x = (9 + 0.3x) Solving 15 + 0.5x = 9 + 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. 15 + 0.5x + -0.3x = 9 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x 15 + 0.2x = 9 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 15 + 0.2x = 9 + 0.0 15 + 0.2x = 9 Add '-15' to each side of the equation. 15 + -15 + 0.2x = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 0.2x = 9 + -15 0.2x = 9 + -15 Combine like terms: 9 + -15 = -6 0.2x = -6 Divide each side by '0.2'. x = -30 Simplifying x = -30
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