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Simplifying 6x + 18 = 3x + 51 Reorder the terms: 18 + 6x = 3x + 51 Reorder the terms: 18 + 6x = 51 + 3x Solving 18 + 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. 18 + 6x + -3x = 51 + 3x + -3x Combine like terms: 6x + -3x = 3x 18 + 3x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 3x = 51 + 0 18 + 3x = 51 Add '-18' to each side of the equation. 18 + -18 + 3x = 51 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 51 + -18 3x = 51 + -18 Combine like terms: 51 + -18 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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