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Simplifying 0.5(12x + -4) + -1(x + 8) = 0 Reorder the terms: 0.5(-4 + 12x) + -1(x + 8) = 0 (-4 * 0.5 + 12x * 0.5) + -1(x + 8) = 0 (-2 + 6x) + -1(x + 8) = 0 Reorder the terms: -2 + 6x + -1(8 + x) = 0 -2 + 6x + (8 * -1 + x * -1) = 0 -2 + 6x + (-8 + -1x) = 0 Reorder the terms: -2 + -8 + 6x + -1x = 0 Combine like terms: -2 + -8 = -10 -10 + 6x + -1x = 0 Combine like terms: 6x + -1x = 5x -10 + 5x = 0 Solving -10 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 5x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 0 + 10 5x = 0 + 10 Combine like terms: 0 + 10 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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