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Simplifying 6x + 6 = 3x + 51 Reorder the terms: 6 + 6x = 3x + 51 Reorder the terms: 6 + 6x = 51 + 3x Solving 6 + 6x = 51 + 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. 6 + 6x + -3x = 51 + 3x + -3x Combine like terms: 6x + -3x = 3x 6 + 3x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 3x = 51 + 0 6 + 3x = 51 Add '-6' to each side of the equation. 6 + -6 + 3x = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 51 + -6 3x = 51 + -6 Combine like terms: 51 + -6 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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