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Simplifying 5(x + -5) + -1(12 + -1x) = 0 Reorder the terms: 5(-5 + x) + -1(12 + -1x) = 0 (-5 * 5 + x * 5) + -1(12 + -1x) = 0 (-25 + 5x) + -1(12 + -1x) = 0 -25 + 5x + (12 * -1 + -1x * -1) = 0 -25 + 5x + (-12 + 1x) = 0 Reorder the terms: -25 + -12 + 5x + 1x = 0 Combine like terms: -25 + -12 = -37 -37 + 5x + 1x = 0 Combine like terms: 5x + 1x = 6x -37 + 6x = 0 Solving -37 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 6x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 6x = 0 + 37 6x = 0 + 37 Combine like terms: 0 + 37 = 37 6x = 37 Divide each side by '6'. x = 6.166666667 Simplifying x = 6.166666667
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