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Simplifying 6x + 51 = 2x + 23 Reorder the terms: 51 + 6x = 2x + 23 Reorder the terms: 51 + 6x = 23 + 2x Solving 51 + 6x = 23 + 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. 51 + 6x + -2x = 23 + 2x + -2x Combine like terms: 6x + -2x = 4x 51 + 4x = 23 + 2x + -2x Combine like terms: 2x + -2x = 0 51 + 4x = 23 + 0 51 + 4x = 23 Add '-51' to each side of the equation. 51 + -51 + 4x = 23 + -51 Combine like terms: 51 + -51 = 0 0 + 4x = 23 + -51 4x = 23 + -51 Combine like terms: 23 + -51 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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