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Simplifying 6x + 3 = 2x + 51 Reorder the terms: 3 + 6x = 2x + 51 Reorder the terms: 3 + 6x = 51 + 2x Solving 3 + 6x = 51 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 6x + -2x = 51 + 2x + -2x Combine like terms: 6x + -2x = 4x 3 + 4x = 51 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 4x = 51 + 0 3 + 4x = 51 Add '-3' to each side of the equation. 3 + -3 + 4x = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 51 + -3 4x = 51 + -3 Combine like terms: 51 + -3 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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