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Simplifying 5(x + 5) = 9 + -4(3x + 1) Reorder the terms: 5(5 + x) = 9 + -4(3x + 1) (5 * 5 + x * 5) = 9 + -4(3x + 1) (25 + 5x) = 9 + -4(3x + 1) Reorder the terms: 25 + 5x = 9 + -4(1 + 3x) 25 + 5x = 9 + (1 * -4 + 3x * -4) 25 + 5x = 9 + (-4 + -12x) Combine like terms: 9 + -4 = 5 25 + 5x = 5 + -12x Solving 25 + 5x = 5 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 25 + 5x + 12x = 5 + -12x + 12x Combine like terms: 5x + 12x = 17x 25 + 17x = 5 + -12x + 12x Combine like terms: -12x + 12x = 0 25 + 17x = 5 + 0 25 + 17x = 5 Add '-25' to each side of the equation. 25 + -25 + 17x = 5 + -25 Combine like terms: 25 + -25 = 0 0 + 17x = 5 + -25 17x = 5 + -25 Combine like terms: 5 + -25 = -20 17x = -20 Divide each side by '17'. x = -1.176470588 Simplifying x = -1.176470588
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