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Simplifying 105 + -2x = 4x + 21 Reorder the terms: 105 + -2x = 21 + 4x Solving 105 + -2x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 105 + -2x + -4x = 21 + 4x + -4x Combine like terms: -2x + -4x = -6x 105 + -6x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 105 + -6x = 21 + 0 105 + -6x = 21 Add '-105' to each side of the equation. 105 + -105 + -6x = 21 + -105 Combine like terms: 105 + -105 = 0 0 + -6x = 21 + -105 -6x = 21 + -105 Combine like terms: 21 + -105 = -84 -6x = -84 Divide each side by '-6'. x = 14 Simplifying x = 14
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