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Simplifying 5x + -7 + x + 21 = 6x + 20 + -3x Reorder the terms: -7 + 21 + 5x + x = 6x + 20 + -3x Combine like terms: -7 + 21 = 14 14 + 5x + x = 6x + 20 + -3x Combine like terms: 5x + x = 6x 14 + 6x = 6x + 20 + -3x Reorder the terms: 14 + 6x = 20 + 6x + -3x Combine like terms: 6x + -3x = 3x 14 + 6x = 20 + 3x Solving 14 + 6x = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 6x + -3x = 20 + 3x + -3x Combine like terms: 6x + -3x = 3x 14 + 3x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 3x = 20 + 0 14 + 3x = 20 Add '-14' to each side of the equation. 14 + -14 + 3x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 20 + -14 3x = 20 + -14 Combine like terms: 20 + -14 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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