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Simplifying 5(x + -7) + -8 = -5(-3x + 5) + -6x Reorder the terms: 5(-7 + x) + -8 = -5(-3x + 5) + -6x (-7 * 5 + x * 5) + -8 = -5(-3x + 5) + -6x (-35 + 5x) + -8 = -5(-3x + 5) + -6x Reorder the terms: -35 + -8 + 5x = -5(-3x + 5) + -6x Combine like terms: -35 + -8 = -43 -43 + 5x = -5(-3x + 5) + -6x Reorder the terms: -43 + 5x = -5(5 + -3x) + -6x -43 + 5x = (5 * -5 + -3x * -5) + -6x -43 + 5x = (-25 + 15x) + -6x Combine like terms: 15x + -6x = 9x -43 + 5x = -25 + 9x Solving -43 + 5x = -25 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -43 + 5x + -9x = -25 + 9x + -9x Combine like terms: 5x + -9x = -4x -43 + -4x = -25 + 9x + -9x Combine like terms: 9x + -9x = 0 -43 + -4x = -25 + 0 -43 + -4x = -25 Add '43' to each side of the equation. -43 + 43 + -4x = -25 + 43 Combine like terms: -43 + 43 = 0 0 + -4x = -25 + 43 -4x = -25 + 43 Combine like terms: -25 + 43 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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