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Simplifying -3x + 51 = x + 23 Reorder the terms: 51 + -3x = x + 23 Reorder the terms: 51 + -3x = 23 + x Solving 51 + -3x = 23 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 51 + -3x + -1x = 23 + x + -1x Combine like terms: -3x + -1x = -4x 51 + -4x = 23 + x + -1x Combine like terms: x + -1x = 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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