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Simplifying -12x + -51 = -4x + 101 Reorder the terms: -51 + -12x = -4x + 101 Reorder the terms: -51 + -12x = 101 + -4x Solving -51 + -12x = 101 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -51 + -12x + 4x = 101 + -4x + 4x Combine like terms: -12x + 4x = -8x -51 + -8x = 101 + -4x + 4x Combine like terms: -4x + 4x = 0 -51 + -8x = 101 + 0 -51 + -8x = 101 Add '51' to each side of the equation. -51 + 51 + -8x = 101 + 51 Combine like terms: -51 + 51 = 0 0 + -8x = 101 + 51 -8x = 101 + 51 Combine like terms: 101 + 51 = 152 -8x = 152 Divide each side by '-8'. x = -19 Simplifying x = -19
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