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Simplifying 7 + 8(x + -7) = 7 + -3(x + -5) Reorder the terms: 7 + 8(-7 + x) = 7 + -3(x + -5) 7 + (-7 * 8 + x * 8) = 7 + -3(x + -5) 7 + (-56 + 8x) = 7 + -3(x + -5) Combine like terms: 7 + -56 = -49 -49 + 8x = 7 + -3(x + -5) Reorder the terms: -49 + 8x = 7 + -3(-5 + x) -49 + 8x = 7 + (-5 * -3 + x * -3) -49 + 8x = 7 + (15 + -3x) Combine like terms: 7 + 15 = 22 -49 + 8x = 22 + -3x Solving -49 + 8x = 22 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -49 + 8x + 3x = 22 + -3x + 3x Combine like terms: 8x + 3x = 11x -49 + 11x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 -49 + 11x = 22 + 0 -49 + 11x = 22 Add '49' to each side of the equation. -49 + 49 + 11x = 22 + 49 Combine like terms: -49 + 49 = 0 0 + 11x = 22 + 49 11x = 22 + 49 Combine like terms: 22 + 49 = 71 11x = 71 Divide each side by '11'. x = 6.454545455 Simplifying x = 6.454545455
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