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Simplifying 21x + 75 = 19 + 29x Reorder the terms: 75 + 21x = 19 + 29x Solving 75 + 21x = 19 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 75 + 21x + -29x = 19 + 29x + -29x Combine like terms: 21x + -29x = -8x 75 + -8x = 19 + 29x + -29x Combine like terms: 29x + -29x = 0 75 + -8x = 19 + 0 75 + -8x = 19 Add '-75' to each side of the equation. 75 + -75 + -8x = 19 + -75 Combine like terms: 75 + -75 = 0 0 + -8x = 19 + -75 -8x = 19 + -75 Combine like terms: 19 + -75 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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