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Simplifying -69 = 3x + 4(-5x + 4) Reorder the terms: -69 = 3x + 4(4 + -5x) -69 = 3x + (4 * 4 + -5x * 4) -69 = 3x + (16 + -20x) Reorder the terms: -69 = 16 + 3x + -20x Combine like terms: 3x + -20x = -17x -69 = 16 + -17x Solving -69 = 16 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -69 + 17x = 16 + -17x + 17x Combine like terms: -17x + 17x = 0 -69 + 17x = 16 + 0 -69 + 17x = 16 Add '69' to each side of the equation. -69 + 69 + 17x = 16 + 69 Combine like terms: -69 + 69 = 0 0 + 17x = 16 + 69 17x = 16 + 69 Combine like terms: 16 + 69 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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