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Simplifying 8 + 6(x + -5) = 4 + -5(x + -7) Reorder the terms: 8 + 6(-5 + x) = 4 + -5(x + -7) 8 + (-5 * 6 + x * 6) = 4 + -5(x + -7) 8 + (-30 + 6x) = 4 + -5(x + -7) Combine like terms: 8 + -30 = -22 -22 + 6x = 4 + -5(x + -7) Reorder the terms: -22 + 6x = 4 + -5(-7 + x) -22 + 6x = 4 + (-7 * -5 + x * -5) -22 + 6x = 4 + (35 + -5x) Combine like terms: 4 + 35 = 39 -22 + 6x = 39 + -5x Solving -22 + 6x = 39 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -22 + 6x + 5x = 39 + -5x + 5x Combine like terms: 6x + 5x = 11x -22 + 11x = 39 + -5x + 5x Combine like terms: -5x + 5x = 0 -22 + 11x = 39 + 0 -22 + 11x = 39 Add '22' to each side of the equation. -22 + 22 + 11x = 39 + 22 Combine like terms: -22 + 22 = 0 0 + 11x = 39 + 22 11x = 39 + 22 Combine like terms: 39 + 22 = 61 11x = 61 Divide each side by '11'. x = 5.545454545 Simplifying x = 5.545454545
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