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Simplifying 11(x + -12) + 5(x + 7) = 23 Reorder the terms: 11(-12 + x) + 5(x + 7) = 23 (-12 * 11 + x * 11) + 5(x + 7) = 23 (-132 + 11x) + 5(x + 7) = 23 Reorder the terms: -132 + 11x + 5(7 + x) = 23 -132 + 11x + (7 * 5 + x * 5) = 23 -132 + 11x + (35 + 5x) = 23 Reorder the terms: -132 + 35 + 11x + 5x = 23 Combine like terms: -132 + 35 = -97 -97 + 11x + 5x = 23 Combine like terms: 11x + 5x = 16x -97 + 16x = 23 Solving -97 + 16x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '97' to each side of the equation. -97 + 97 + 16x = 23 + 97 Combine like terms: -97 + 97 = 0 0 + 16x = 23 + 97 16x = 23 + 97 Combine like terms: 23 + 97 = 120 16x = 120 Divide each side by '16'. x = 7.5 Simplifying x = 7.5
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