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Simplifying 5(7x + -2) + 35 = 8(3x + -9) Reorder the terms: 5(-2 + 7x) + 35 = 8(3x + -9) (-2 * 5 + 7x * 5) + 35 = 8(3x + -9) (-10 + 35x) + 35 = 8(3x + -9) Reorder the terms: -10 + 35 + 35x = 8(3x + -9) Combine like terms: -10 + 35 = 25 25 + 35x = 8(3x + -9) Reorder the terms: 25 + 35x = 8(-9 + 3x) 25 + 35x = (-9 * 8 + 3x * 8) 25 + 35x = (-72 + 24x) Solving 25 + 35x = -72 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 25 + 35x + -24x = -72 + 24x + -24x Combine like terms: 35x + -24x = 11x 25 + 11x = -72 + 24x + -24x Combine like terms: 24x + -24x = 0 25 + 11x = -72 + 0 25 + 11x = -72 Add '-25' to each side of the equation. 25 + -25 + 11x = -72 + -25 Combine like terms: 25 + -25 = 0 0 + 11x = -72 + -25 11x = -72 + -25 Combine like terms: -72 + -25 = -97 11x = -97 Divide each side by '11'. x = -8.818181818 Simplifying x = -8.818181818
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