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Simplifying 2 + 5(x + -9) = 2 + -8(x + -7) Reorder the terms: 2 + 5(-9 + x) = 2 + -8(x + -7) 2 + (-9 * 5 + x * 5) = 2 + -8(x + -7) 2 + (-45 + 5x) = 2 + -8(x + -7) Combine like terms: 2 + -45 = -43 -43 + 5x = 2 + -8(x + -7) Reorder the terms: -43 + 5x = 2 + -8(-7 + x) -43 + 5x = 2 + (-7 * -8 + x * -8) -43 + 5x = 2 + (56 + -8x) Combine like terms: 2 + 56 = 58 -43 + 5x = 58 + -8x Solving -43 + 5x = 58 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -43 + 5x + 8x = 58 + -8x + 8x Combine like terms: 5x + 8x = 13x -43 + 13x = 58 + -8x + 8x Combine like terms: -8x + 8x = 0 -43 + 13x = 58 + 0 -43 + 13x = 58 Add '43' to each side of the equation. -43 + 43 + 13x = 58 + 43 Combine like terms: -43 + 43 = 0 0 + 13x = 58 + 43 13x = 58 + 43 Combine like terms: 58 + 43 = 101 13x = 101 Divide each side by '13'. x = 7.769230769 Simplifying x = 7.769230769
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