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Simplifying 6x + -9(4 + -5x) = 5 + 2(-6 + -7x) 6x + (4 * -9 + -5x * -9) = 5 + 2(-6 + -7x) 6x + (-36 + 45x) = 5 + 2(-6 + -7x) Reorder the terms: -36 + 6x + 45x = 5 + 2(-6 + -7x) Combine like terms: 6x + 45x = 51x -36 + 51x = 5 + 2(-6 + -7x) -36 + 51x = 5 + (-6 * 2 + -7x * 2) -36 + 51x = 5 + (-12 + -14x) Combine like terms: 5 + -12 = -7 -36 + 51x = -7 + -14x Solving -36 + 51x = -7 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -36 + 51x + 14x = -7 + -14x + 14x Combine like terms: 51x + 14x = 65x -36 + 65x = -7 + -14x + 14x Combine like terms: -14x + 14x = 0 -36 + 65x = -7 + 0 -36 + 65x = -7 Add '36' to each side of the equation. -36 + 36 + 65x = -7 + 36 Combine like terms: -36 + 36 = 0 0 + 65x = -7 + 36 65x = -7 + 36 Combine like terms: -7 + 36 = 29 65x = 29 Divide each side by '65'. x = 0.4461538462 Simplifying x = 0.4461538462
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