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Simplifying 5(x + 6) + -5 = 106 + -4x Reorder the terms: 5(6 + x) + -5 = 106 + -4x (6 * 5 + x * 5) + -5 = 106 + -4x (30 + 5x) + -5 = 106 + -4x Reorder the terms: 30 + -5 + 5x = 106 + -4x Combine like terms: 30 + -5 = 25 25 + 5x = 106 + -4x Solving 25 + 5x = 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. 25 + 5x + 4x = 106 + -4x + 4x Combine like terms: 5x + 4x = 9x 25 + 9x = 106 + -4x + 4x Combine like terms: -4x + 4x = 0 25 + 9x = 106 + 0 25 + 9x = 106 Add '-25' to each side of the equation. 25 + -25 + 9x = 106 + -25 Combine like terms: 25 + -25 = 0 0 + 9x = 106 + -25 9x = 106 + -25 Combine like terms: 106 + -25 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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