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Simplifying 5(x + -5) + -6(x + -4) = 10 Reorder the terms: 5(-5 + x) + -6(x + -4) = 10 (-5 * 5 + x * 5) + -6(x + -4) = 10 (-25 + 5x) + -6(x + -4) = 10 Reorder the terms: -25 + 5x + -6(-4 + x) = 10 -25 + 5x + (-4 * -6 + x * -6) = 10 -25 + 5x + (24 + -6x) = 10 Reorder the terms: -25 + 24 + 5x + -6x = 10 Combine like terms: -25 + 24 = -1 -1 + 5x + -6x = 10 Combine like terms: 5x + -6x = -1x -1 + -1x = 10 Solving -1 + -1x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 10 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 10 + 1 -1x = 10 + 1 Combine like terms: 10 + 1 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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