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Simplifying 5x + 21 = 13x + -75 Reorder the terms: 21 + 5x = 13x + -75 Reorder the terms: 21 + 5x = -75 + 13x Solving 21 + 5x = -75 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 21 + 5x + -13x = -75 + 13x + -13x Combine like terms: 5x + -13x = -8x 21 + -8x = -75 + 13x + -13x Combine like terms: 13x + -13x = 0 21 + -8x = -75 + 0 21 + -8x = -75 Add '-21' to each side of the equation. 21 + -21 + -8x = -75 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = -75 + -21 -8x = -75 + -21 Combine like terms: -75 + -21 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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