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Simplifying 0.6(10x + -8) + -0.2(5x + -4) = 6 Reorder the terms: 0.6(-8 + 10x) + -0.2(5x + -4) = 6 (-8 * 0.6 + 10x * 0.6) + -0.2(5x + -4) = 6 (-4.8 + 6x) + -0.2(5x + -4) = 6 Reorder the terms: -4.8 + 6x + -0.2(-4 + 5x) = 6 -4.8 + 6x + (-4 * -0.2 + 5x * -0.2) = 6 -4.8 + 6x + (0.8 + -1x) = 6 Reorder the terms: -4.8 + 0.8 + 6x + -1x = 6 Combine like terms: -4.8 + 0.8 = -4 -4 + 6x + -1x = 6 Combine like terms: 6x + -1x = 5x -4 + 5x = 6 Solving -4 + 5x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 6 + 4 5x = 6 + 4 Combine like terms: 6 + 4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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