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Simplifying 0.5(3x + -10) + -0.2(2x + 4) = 7.4 Reorder the terms: 0.5(-10 + 3x) + -0.2(2x + 4) = 7.4 (-10 * 0.5 + 3x * 0.5) + -0.2(2x + 4) = 7.4 (-5 + 1.5x) + -0.2(2x + 4) = 7.4 Reorder the terms: -5 + 1.5x + -0.2(4 + 2x) = 7.4 -5 + 1.5x + (4 * -0.2 + 2x * -0.2) = 7.4 -5 + 1.5x + (-0.8 + -0.4x) = 7.4 Reorder the terms: -5 + -0.8 + 1.5x + -0.4x = 7.4 Combine like terms: -5 + -0.8 = -5.8 -5.8 + 1.5x + -0.4x = 7.4 Combine like terms: 1.5x + -0.4x = 1.1x -5.8 + 1.1x = 7.4 Solving -5.8 + 1.1x = 7.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.8' to each side of the equation. -5.8 + 5.8 + 1.1x = 7.4 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 1.1x = 7.4 + 5.8 1.1x = 7.4 + 5.8 Combine like terms: 7.4 + 5.8 = 13.2 1.1x = 13.2 Divide each side by '1.1'. x = 12 Simplifying x = 12
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