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Simplifying 0.5(10x + -6) + -1(X + 7) = 0 Reorder the terms: 0.5(-6 + 10x) + -1(X + 7) = 0 (-6 * 0.5 + 10x * 0.5) + -1(X + 7) = 0 (-3 + 5x) + -1(X + 7) = 0 Reorder the terms: -3 + 5x + -1(7 + X) = 0 -3 + 5x + (7 * -1 + X * -1) = 0 -3 + 5x + (-7 + -1X) = 0 Reorder the terms: -3 + -7 + -1X + 5x = 0 Combine like terms: -3 + -7 = -10 -10 + -1X + 5x = 0 Solving -10 + -1X + 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 + -1X + 10 + 5x = 0 + 10 Reorder the terms: -10 + 10 + -1X + 5x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1X + 5x = 0 + 10 -1X + 5x = 0 + 10 Combine like terms: 0 + 10 = 10 -1X + 5x = 10 Add '-5x' to each side of the equation. -1X + 5x + -5x = 10 + -5x Combine like terms: 5x + -5x = 0 -1X + 0 = 10 + -5x -1X = 10 + -5x Divide each side by '-1'. X = -10 + 5x Simplifying X = -10 + 5x
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