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Simplifying 5(x + 5) + -4 = 11 + 6(x + 4) + -3x Reorder the terms: 5(5 + x) + -4 = 11 + 6(x + 4) + -3x (5 * 5 + x * 5) + -4 = 11 + 6(x + 4) + -3x (25 + 5x) + -4 = 11 + 6(x + 4) + -3x Reorder the terms: 25 + -4 + 5x = 11 + 6(x + 4) + -3x Combine like terms: 25 + -4 = 21 21 + 5x = 11 + 6(x + 4) + -3x Reorder the terms: 21 + 5x = 11 + 6(4 + x) + -3x 21 + 5x = 11 + (4 * 6 + x * 6) + -3x 21 + 5x = 11 + (24 + 6x) + -3x Combine like terms: 11 + 24 = 35 21 + 5x = 35 + 6x + -3x Combine like terms: 6x + -3x = 3x 21 + 5x = 35 + 3x Solving 21 + 5x = 35 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 21 + 5x + -3x = 35 + 3x + -3x Combine like terms: 5x + -3x = 2x 21 + 2x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 2x = 35 + 0 21 + 2x = 35 Add '-21' to each side of the equation. 21 + -21 + 2x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 35 + -21 2x = 35 + -21 Combine like terms: 35 + -21 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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