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Simplifying 6x + 21 = 3(x + 1) Reorder the terms: 21 + 6x = 3(x + 1) Reorder the terms: 21 + 6x = 3(1 + x) 21 + 6x = (1 * 3 + x * 3) 21 + 6x = (3 + 3x) Solving 21 + 6x = 3 + 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. 21 + 6x + -3x = 3 + 3x + -3x Combine like terms: 6x + -3x = 3x 21 + 3x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 3x = 3 + 0 21 + 3x = 3 Add '-21' to each side of the equation. 21 + -21 + 3x = 3 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 3 + -21 3x = 3 + -21 Combine like terms: 3 + -21 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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