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Simplifying 6x + 2 = -7 + 3x + 21 Reorder the terms: 2 + 6x = -7 + 3x + 21 Reorder the terms: 2 + 6x = -7 + 21 + 3x Combine like terms: -7 + 21 = 14 2 + 6x = 14 + 3x Solving 2 + 6x = 14 + 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. 2 + 6x + -3x = 14 + 3x + -3x Combine like terms: 6x + -3x = 3x 2 + 3x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 3x = 14 + 0 2 + 3x = 14 Add '-2' to each side of the equation. 2 + -2 + 3x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 14 + -2 3x = 14 + -2 Combine like terms: 14 + -2 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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