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Simplifying 9 + 8(x + -7) = 10 + -5(x + -9) Reorder the terms: 9 + 8(-7 + x) = 10 + -5(x + -9) 9 + (-7 * 8 + x * 8) = 10 + -5(x + -9) 9 + (-56 + 8x) = 10 + -5(x + -9) Combine like terms: 9 + -56 = -47 -47 + 8x = 10 + -5(x + -9) Reorder the terms: -47 + 8x = 10 + -5(-9 + x) -47 + 8x = 10 + (-9 * -5 + x * -5) -47 + 8x = 10 + (45 + -5x) Combine like terms: 10 + 45 = 55 -47 + 8x = 55 + -5x Solving -47 + 8x = 55 + -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. -47 + 8x + 5x = 55 + -5x + 5x Combine like terms: 8x + 5x = 13x -47 + 13x = 55 + -5x + 5x Combine like terms: -5x + 5x = 0 -47 + 13x = 55 + 0 -47 + 13x = 55 Add '47' to each side of the equation. -47 + 47 + 13x = 55 + 47 Combine like terms: -47 + 47 = 0 0 + 13x = 55 + 47 13x = 55 + 47 Combine like terms: 55 + 47 = 102 13x = 102 Divide each side by '13'. x = 7.846153846 Simplifying x = 7.846153846
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