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Simplifying 5(x + -5) + -6 = -3(-9x + 7) + -8x Reorder the terms: 5(-5 + x) + -6 = -3(-9x + 7) + -8x (-5 * 5 + x * 5) + -6 = -3(-9x + 7) + -8x (-25 + 5x) + -6 = -3(-9x + 7) + -8x Reorder the terms: -25 + -6 + 5x = -3(-9x + 7) + -8x Combine like terms: -25 + -6 = -31 -31 + 5x = -3(-9x + 7) + -8x Reorder the terms: -31 + 5x = -3(7 + -9x) + -8x -31 + 5x = (7 * -3 + -9x * -3) + -8x -31 + 5x = (-21 + 27x) + -8x Combine like terms: 27x + -8x = 19x -31 + 5x = -21 + 19x Solving -31 + 5x = -21 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -31 + 5x + -19x = -21 + 19x + -19x Combine like terms: 5x + -19x = -14x -31 + -14x = -21 + 19x + -19x Combine like terms: 19x + -19x = 0 -31 + -14x = -21 + 0 -31 + -14x = -21 Add '31' to each side of the equation. -31 + 31 + -14x = -21 + 31 Combine like terms: -31 + 31 = 0 0 + -14x = -21 + 31 -14x = -21 + 31 Combine like terms: -21 + 31 = 10 -14x = 10 Divide each side by '-14'. x = -0.7142857143 Simplifying x = -0.7142857143
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