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Simplifying 5(x + 7) + -3(4x + 5) = 69 Reorder the terms: 5(7 + x) + -3(4x + 5) = 69 (7 * 5 + x * 5) + -3(4x + 5) = 69 (35 + 5x) + -3(4x + 5) = 69 Reorder the terms: 35 + 5x + -3(5 + 4x) = 69 35 + 5x + (5 * -3 + 4x * -3) = 69 35 + 5x + (-15 + -12x) = 69 Reorder the terms: 35 + -15 + 5x + -12x = 69 Combine like terms: 35 + -15 = 20 20 + 5x + -12x = 69 Combine like terms: 5x + -12x = -7x 20 + -7x = 69 Solving 20 + -7x = 69 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -7x = 69 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = 69 + -20 -7x = 69 + -20 Combine like terms: 69 + -20 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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