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Simplifying 5(9 + -5x + -6x) + 6(7x + 5) = 23 Combine like terms: -5x + -6x = -11x 5(9 + -11x) + 6(7x + 5) = 23 (9 * 5 + -11x * 5) + 6(7x + 5) = 23 (45 + -55x) + 6(7x + 5) = 23 Reorder the terms: 45 + -55x + 6(5 + 7x) = 23 45 + -55x + (5 * 6 + 7x * 6) = 23 45 + -55x + (30 + 42x) = 23 Reorder the terms: 45 + 30 + -55x + 42x = 23 Combine like terms: 45 + 30 = 75 75 + -55x + 42x = 23 Combine like terms: -55x + 42x = -13x 75 + -13x = 23 Solving 75 + -13x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -13x = 23 + -75 Combine like terms: 75 + -75 = 0 0 + -13x = 23 + -75 -13x = 23 + -75 Combine like terms: 23 + -75 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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