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Simplifying 7 + -5(x + -9) = 3(2x + -3) Reorder the terms: 7 + -5(-9 + x) = 3(2x + -3) 7 + (-9 * -5 + x * -5) = 3(2x + -3) 7 + (45 + -5x) = 3(2x + -3) Combine like terms: 7 + 45 = 52 52 + -5x = 3(2x + -3) Reorder the terms: 52 + -5x = 3(-3 + 2x) 52 + -5x = (-3 * 3 + 2x * 3) 52 + -5x = (-9 + 6x) Solving 52 + -5x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 52 + -5x + -6x = -9 + 6x + -6x Combine like terms: -5x + -6x = -11x 52 + -11x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 52 + -11x = -9 + 0 52 + -11x = -9 Add '-52' to each side of the equation. 52 + -52 + -11x = -9 + -52 Combine like terms: 52 + -52 = 0 0 + -11x = -9 + -52 -11x = -9 + -52 Combine like terms: -9 + -52 = -61 -11x = -61 Divide each side by '-11'. x = 5.545454545 Simplifying x = 5.545454545
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