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Simplifying 0.5(12x + -8) + -1(x + 7) = 0 Reorder the terms: 0.5(-8 + 12x) + -1(x + 7) = 0 (-8 * 0.5 + 12x * 0.5) + -1(x + 7) = 0 (-4 + 6x) + -1(x + 7) = 0 Reorder the terms: -4 + 6x + -1(7 + x) = 0 -4 + 6x + (7 * -1 + x * -1) = 0 -4 + 6x + (-7 + -1x) = 0 Reorder the terms: -4 + -7 + 6x + -1x = 0 Combine like terms: -4 + -7 = -11 -11 + 6x + -1x = 0 Combine like terms: 6x + -1x = 5x -11 + 5x = 0 Solving -11 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 5x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 0 + 11 5x = 0 + 11 Combine like terms: 0 + 11 = 11 5x = 11 Divide each side by '5'. x = 2.2 Simplifying x = 2.2
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