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Simplifying 5x + 51 = x + 19 Reorder the terms: 51 + 5x = x + 19 Reorder the terms: 51 + 5x = 19 + x Solving 51 + 5x = 19 + 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 + 5x + -1x = 19 + x + -1x Combine like terms: 5x + -1x = 4x 51 + 4x = 19 + x + -1x Combine like terms: x + -1x = 0 51 + 4x = 19 + 0 51 + 4x = 19 Add '-51' to each side of the equation. 51 + -51 + 4x = 19 + -51 Combine like terms: 51 + -51 = 0 0 + 4x = 19 + -51 4x = 19 + -51 Combine like terms: 19 + -51 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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