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Simplifying -4x + -51 = x + 14 Reorder the terms: -51 + -4x = x + 14 Reorder the terms: -51 + -4x = 14 + x Solving -51 + -4x = 14 + 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 + -4x + -1x = 14 + x + -1x Combine like terms: -4x + -1x = -5x -51 + -5x = 14 + x + -1x Combine like terms: x + -1x = 0 -51 + -5x = 14 + 0 -51 + -5x = 14 Add '51' to each side of the equation. -51 + 51 + -5x = 14 + 51 Combine like terms: -51 + 51 = 0 0 + -5x = 14 + 51 -5x = 14 + 51 Combine like terms: 14 + 51 = 65 -5x = 65 Divide each side by '-5'. x = -13 Simplifying x = -13
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