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Simplifying 5(x + 6) + -6(x + -5) = x + 5 + -1(x + -3) Reorder the terms: 5(6 + x) + -6(x + -5) = x + 5 + -1(x + -3) (6 * 5 + x * 5) + -6(x + -5) = x + 5 + -1(x + -3) (30 + 5x) + -6(x + -5) = x + 5 + -1(x + -3) Reorder the terms: 30 + 5x + -6(-5 + x) = x + 5 + -1(x + -3) 30 + 5x + (-5 * -6 + x * -6) = x + 5 + -1(x + -3) 30 + 5x + (30 + -6x) = x + 5 + -1(x + -3) Reorder the terms: 30 + 30 + 5x + -6x = x + 5 + -1(x + -3) Combine like terms: 30 + 30 = 60 60 + 5x + -6x = x + 5 + -1(x + -3) Combine like terms: 5x + -6x = -1x 60 + -1x = x + 5 + -1(x + -3) Reorder the terms: 60 + -1x = x + 5 + -1(-3 + x) 60 + -1x = x + 5 + (-3 * -1 + x * -1) 60 + -1x = x + 5 + (3 + -1x) Reorder the terms: 60 + -1x = 5 + 3 + x + -1x Combine like terms: 5 + 3 = 8 60 + -1x = 8 + x + -1x Combine like terms: x + -1x = 0 60 + -1x = 8 + 0 60 + -1x = 8 Solving 60 + -1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 8 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 8 + -60 -1x = 8 + -60 Combine like terms: 8 + -60 = -52 -1x = -52 Divide each side by '-1'. x = 52 Simplifying x = 52
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