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Simplifying 5(x + 6) * 1 + 11 = 25 + -3x Reorder the terms: 5(6 + x) * 1 + 11 = 25 + -3x Reorder the terms for easier multiplication: 5 * 1(6 + x) + 11 = 25 + -3x Multiply 5 * 1 5(6 + x) + 11 = 25 + -3x (6 * 5 + x * 5) + 11 = 25 + -3x (30 + 5x) + 11 = 25 + -3x Reorder the terms: 30 + 11 + 5x = 25 + -3x Combine like terms: 30 + 11 = 41 41 + 5x = 25 + -3x Solving 41 + 5x = 25 + -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. 41 + 5x + 3x = 25 + -3x + 3x Combine like terms: 5x + 3x = 8x 41 + 8x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 41 + 8x = 25 + 0 41 + 8x = 25 Add '-41' to each side of the equation. 41 + -41 + 8x = 25 + -41 Combine like terms: 41 + -41 = 0 0 + 8x = 25 + -41 8x = 25 + -41 Combine like terms: 25 + -41 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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