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Simplifying 7(6x + 5) + -5(3x + 2) = 79 Reorder the terms: 7(5 + 6x) + -5(3x + 2) = 79 (5 * 7 + 6x * 7) + -5(3x + 2) = 79 (35 + 42x) + -5(3x + 2) = 79 Reorder the terms: 35 + 42x + -5(2 + 3x) = 79 35 + 42x + (2 * -5 + 3x * -5) = 79 35 + 42x + (-10 + -15x) = 79 Reorder the terms: 35 + -10 + 42x + -15x = 79 Combine like terms: 35 + -10 = 25 25 + 42x + -15x = 79 Combine like terms: 42x + -15x = 27x 25 + 27x = 79 Solving 25 + 27x = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 27x = 79 + -25 Combine like terms: 25 + -25 = 0 0 + 27x = 79 + -25 27x = 79 + -25 Combine like terms: 79 + -25 = 54 27x = 54 Divide each side by '27'. x = 2 Simplifying x = 2
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