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Simplifying -5(3x + 5) + -2x = 9(3x + 7) Reorder the terms: -5(5 + 3x) + -2x = 9(3x + 7) (5 * -5 + 3x * -5) + -2x = 9(3x + 7) (-25 + -15x) + -2x = 9(3x + 7) Combine like terms: -15x + -2x = -17x -25 + -17x = 9(3x + 7) Reorder the terms: -25 + -17x = 9(7 + 3x) -25 + -17x = (7 * 9 + 3x * 9) -25 + -17x = (63 + 27x) Solving -25 + -17x = 63 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -25 + -17x + -27x = 63 + 27x + -27x Combine like terms: -17x + -27x = -44x -25 + -44x = 63 + 27x + -27x Combine like terms: 27x + -27x = 0 -25 + -44x = 63 + 0 -25 + -44x = 63 Add '25' to each side of the equation. -25 + 25 + -44x = 63 + 25 Combine like terms: -25 + 25 = 0 0 + -44x = 63 + 25 -44x = 63 + 25 Combine like terms: 63 + 25 = 88 -44x = 88 Divide each side by '-44'. x = -2 Simplifying x = -2
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