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Simplifying 0.4x + -0.3(30 + x) = -0.2(30) 0.4x + (30 * -0.3 + x * -0.3) = -0.2(30) 0.4x + (-9 + -0.3x) = -0.2(30) Reorder the terms: -9 + 0.4x + -0.3x = -0.2(30) Combine like terms: 0.4x + -0.3x = 0.1x -9 + 0.1x = -0.2(30) Multiply -0.2 * 30 -9 + 0.1x = -6 Solving -9 + 0.1x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 0.1x = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 0.1x = -6 + 9 0.1x = -6 + 9 Combine like terms: -6 + 9 = 3 0.1x = 3 Divide each side by '0.1'. x = 30 Simplifying x = 30
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