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Simplifying x + 6 = -4x + 106 Reorder the terms: 6 + x = -4x + 106 Reorder the terms: 6 + x = 106 + -4x Solving 6 + x = 106 + -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. 6 + x + 4x = 106 + -4x + 4x Combine like terms: x + 4x = 5x 6 + 5x = 106 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 5x = 106 + 0 6 + 5x = 106 Add '-6' to each side of the equation. 6 + -6 + 5x = 106 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 106 + -6 5x = 106 + -6 Combine like terms: 106 + -6 = 100 5x = 100 Divide each side by '5'. x = 20 Simplifying x = 20
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