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Simplifying 8x + -29(x + -5) = x + 25 Reorder the terms: 8x + -29(-5 + x) = x + 25 8x + (-5 * -29 + x * -29) = x + 25 8x + (145 + -29x) = x + 25 Reorder the terms: 145 + 8x + -29x = x + 25 Combine like terms: 8x + -29x = -21x 145 + -21x = x + 25 Reorder the terms: 145 + -21x = 25 + x Solving 145 + -21x = 25 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 145 + -21x + -1x = 25 + x + -1x Combine like terms: -21x + -1x = -22x 145 + -22x = 25 + x + -1x Combine like terms: x + -1x = 0 145 + -22x = 25 + 0 145 + -22x = 25 Add '-145' to each side of the equation. 145 + -145 + -22x = 25 + -145 Combine like terms: 145 + -145 = 0 0 + -22x = 25 + -145 -22x = 25 + -145 Combine like terms: 25 + -145 = -120 -22x = -120 Divide each side by '-22'. x = 5.454545455 Simplifying x = 5.454545455
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