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Simplifying -0.4(30) + 0.5x = 0.2(30 + x) Multiply -0.4 * 30 -12 + 0.5x = 0.2(30 + x) -12 + 0.5x = (30 * 0.2 + x * 0.2) -12 + 0.5x = (6 + 0.2x) Solving -12 + 0.5x = 6 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -12 + 0.5x + -0.2x = 6 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x -12 + 0.3x = 6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -12 + 0.3x = 6 + 0.0 -12 + 0.3x = 6 Add '12' to each side of the equation. -12 + 12 + 0.3x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 0.3x = 6 + 12 0.3x = 6 + 12 Combine like terms: 6 + 12 = 18 0.3x = 18 Divide each side by '0.3'. x = 60 Simplifying x = 60
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