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Simplifying 6x + 21 = 2x + 117 Reorder the terms: 21 + 6x = 2x + 117 Reorder the terms: 21 + 6x = 117 + 2x Solving 21 + 6x = 117 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 6x + -2x = 117 + 2x + -2x Combine like terms: 6x + -2x = 4x 21 + 4x = 117 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 4x = 117 + 0 21 + 4x = 117 Add '-21' to each side of the equation. 21 + -21 + 4x = 117 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 117 + -21 4x = 117 + -21 Combine like terms: 117 + -21 = 96 4x = 96 Divide each side by '4'. x = 24 Simplifying x = 24
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