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Simplifying 5(x + 5) + -4 = 26 + -6x + -5 + 11 Reorder the terms: 5(5 + x) + -4 = 26 + -6x + -5 + 11 (5 * 5 + x * 5) + -4 = 26 + -6x + -5 + 11 (25 + 5x) + -4 = 26 + -6x + -5 + 11 Reorder the terms: 25 + -4 + 5x = 26 + -6x + -5 + 11 Combine like terms: 25 + -4 = 21 21 + 5x = 26 + -6x + -5 + 11 Reorder the terms: 21 + 5x = 26 + -5 + 11 + -6x Combine like terms: 26 + -5 = 21 21 + 5x = 21 + 11 + -6x Combine like terms: 21 + 11 = 32 21 + 5x = 32 + -6x Solving 21 + 5x = 32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 21 + 5x + 6x = 32 + -6x + 6x Combine like terms: 5x + 6x = 11x 21 + 11x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + 11x = 32 + 0 21 + 11x = 32 Add '-21' to each side of the equation. 21 + -21 + 11x = 32 + -21 Combine like terms: 21 + -21 = 0 0 + 11x = 32 + -21 11x = 32 + -21 Combine like terms: 32 + -21 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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