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Simplifying 5(x + -6) + -6(x + -5) = x + 6 + -1(x + -2) Reorder the terms: 5(-6 + x) + -6(x + -5) = x + 6 + -1(x + -2) (-6 * 5 + x * 5) + -6(x + -5) = x + 6 + -1(x + -2) (-30 + 5x) + -6(x + -5) = x + 6 + -1(x + -2) Reorder the terms: -30 + 5x + -6(-5 + x) = x + 6 + -1(x + -2) -30 + 5x + (-5 * -6 + x * -6) = x + 6 + -1(x + -2) -30 + 5x + (30 + -6x) = x + 6 + -1(x + -2) Reorder the terms: -30 + 30 + 5x + -6x = x + 6 + -1(x + -2) Combine like terms: -30 + 30 = 0 0 + 5x + -6x = x + 6 + -1(x + -2) 5x + -6x = x + 6 + -1(x + -2) Combine like terms: 5x + -6x = -1x -1x = x + 6 + -1(x + -2) Reorder the terms: -1x = x + 6 + -1(-2 + x) -1x = x + 6 + (-2 * -1 + x * -1) -1x = x + 6 + (2 + -1x) Reorder the terms: -1x = 6 + 2 + x + -1x Combine like terms: 6 + 2 = 8 -1x = 8 + x + -1x Combine like terms: x + -1x = 0 -1x = 8 + 0 -1x = 8 Solving -1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = -8 Simplifying x = -8
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