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Simplifying -0.4(30) + 0.5x = 0.2(30 + -1x) Multiply -0.4 * 30 -12 + 0.5x = 0.2(30 + -1x) -12 + 0.5x = (30 * 0.2 + -1x * 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 = 0.7x -12 + 0.7x = 6 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -12 + 0.7x = 6 + 0.0 -12 + 0.7x = 6 Add '12' to each side of the equation. -12 + 12 + 0.7x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 0.7x = 6 + 12 0.7x = 6 + 12 Combine like terms: 6 + 12 = 18 0.7x = 18 Divide each side by '0.7'. x = 25.71428571 Simplifying x = 25.71428571
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