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Simplifying -0.1(40) + 0.5x = 0.3(40 + x) Multiply -0.1 * 40 -4 + 0.5x = 0.3(40 + x) -4 + 0.5x = (40 * 0.3 + x * 0.3) -4 + 0.5x = (12 + 0.3x) Solving -4 + 0.5x = 12 + 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. -4 + 0.5x + -0.3x = 12 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x -4 + 0.2x = 12 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -4 + 0.2x = 12 + 0.0 -4 + 0.2x = 12 Add '4' to each side of the equation. -4 + 4 + 0.2x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 0.2x = 12 + 4 0.2x = 12 + 4 Combine like terms: 12 + 4 = 16 0.2x = 16 Divide each side by '0.2'. x = 80 Simplifying x = 80
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