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Simplifying 0.5(12x + -4) + -1(x + 5) = 0 Reorder the terms: 0.5(-4 + 12x) + -1(x + 5) = 0 (-4 * 0.5 + 12x * 0.5) + -1(x + 5) = 0 (-2 + 6x) + -1(x + 5) = 0 Reorder the terms: -2 + 6x + -1(5 + x) = 0 -2 + 6x + (5 * -1 + x * -1) = 0 -2 + 6x + (-5 + -1x) = 0 Reorder the terms: -2 + -5 + 6x + -1x = 0 Combine like terms: -2 + -5 = -7 -7 + 6x + -1x = 0 Combine like terms: 6x + -1x = 5x -7 + 5x = 0 Solving -7 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 0 + 7 5x = 0 + 7 Combine like terms: 0 + 7 = 7 5x = 7 Divide each side by '5'. x = 1.4 Simplifying x = 1.4
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