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Simplifying 2X + 21 = 10X + -75 Reorder the terms: 21 + 2X = 10X + -75 Reorder the terms: 21 + 2X = -75 + 10X Solving 21 + 2X = -75 + 10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10X' to each side of the equation. 21 + 2X + -10X = -75 + 10X + -10X Combine like terms: 2X + -10X = -8X 21 + -8X = -75 + 10X + -10X Combine like terms: 10X + -10X = 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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