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Simplifying 5(x + -5) + -9 = -6(-3x + 5) + -7x Reorder the terms: 5(-5 + x) + -9 = -6(-3x + 5) + -7x (-5 * 5 + x * 5) + -9 = -6(-3x + 5) + -7x (-25 + 5x) + -9 = -6(-3x + 5) + -7x Reorder the terms: -25 + -9 + 5x = -6(-3x + 5) + -7x Combine like terms: -25 + -9 = -34 -34 + 5x = -6(-3x + 5) + -7x Reorder the terms: -34 + 5x = -6(5 + -3x) + -7x -34 + 5x = (5 * -6 + -3x * -6) + -7x -34 + 5x = (-30 + 18x) + -7x Combine like terms: 18x + -7x = 11x -34 + 5x = -30 + 11x Solving -34 + 5x = -30 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -34 + 5x + -11x = -30 + 11x + -11x Combine like terms: 5x + -11x = -6x -34 + -6x = -30 + 11x + -11x Combine like terms: 11x + -11x = 0 -34 + -6x = -30 + 0 -34 + -6x = -30 Add '34' to each side of the equation. -34 + 34 + -6x = -30 + 34 Combine like terms: -34 + 34 = 0 0 + -6x = -30 + 34 -6x = -30 + 34 Combine like terms: -30 + 34 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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