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Simplifying 105 + -5x = 2x + 21 Reorder the terms: 105 + -5x = 21 + 2x Solving 105 + -5x = 21 + 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. 105 + -5x + -2x = 21 + 2x + -2x Combine like terms: -5x + -2x = -7x 105 + -7x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 105 + -7x = 21 + 0 105 + -7x = 21 Add '-105' to each side of the equation. 105 + -105 + -7x = 21 + -105 Combine like terms: 105 + -105 = 0 0 + -7x = 21 + -105 -7x = 21 + -105 Combine like terms: 21 + -105 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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