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Simplifying x + 20 + 4x = -46 + -4x + -51 Reorder the terms: 20 + x + 4x = -46 + -4x + -51 Combine like terms: x + 4x = 5x 20 + 5x = -46 + -4x + -51 Reorder the terms: 20 + 5x = -46 + -51 + -4x Combine like terms: -46 + -51 = -97 20 + 5x = -97 + -4x Solving 20 + 5x = -97 + -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. 20 + 5x + 4x = -97 + -4x + 4x Combine like terms: 5x + 4x = 9x 20 + 9x = -97 + -4x + 4x Combine like terms: -4x + 4x = 0 20 + 9x = -97 + 0 20 + 9x = -97 Add '-20' to each side of the equation. 20 + -20 + 9x = -97 + -20 Combine like terms: 20 + -20 = 0 0 + 9x = -97 + -20 9x = -97 + -20 Combine like terms: -97 + -20 = -117 9x = -117 Divide each side by '9'. x = -13 Simplifying x = -13
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