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Simplifying 12(x + -5) = 11(x + 5) Reorder the terms: 12(-5 + x) = 11(x + 5) (-5 * 12 + x * 12) = 11(x + 5) (-60 + 12x) = 11(x + 5) Reorder the terms: -60 + 12x = 11(5 + x) -60 + 12x = (5 * 11 + x * 11) -60 + 12x = (55 + 11x) Solving -60 + 12x = 55 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -60 + 12x + -11x = 55 + 11x + -11x Combine like terms: 12x + -11x = 1x -60 + 1x = 55 + 11x + -11x Combine like terms: 11x + -11x = 0 -60 + 1x = 55 + 0 -60 + 1x = 55 Add '60' to each side of the equation. -60 + 60 + 1x = 55 + 60 Combine like terms: -60 + 60 = 0 0 + 1x = 55 + 60 1x = 55 + 60 Combine like terms: 55 + 60 = 115 1x = 115 Divide each side by '1'. x = 115 Simplifying x = 115
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