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Simplifying 7(x + 7) + 1 = -6x + 24 Reorder the terms: 7(7 + x) + 1 = -6x + 24 (7 * 7 + x * 7) + 1 = -6x + 24 (49 + 7x) + 1 = -6x + 24 Reorder the terms: 49 + 1 + 7x = -6x + 24 Combine like terms: 49 + 1 = 50 50 + 7x = -6x + 24 Reorder the terms: 50 + 7x = 24 + -6x Solving 50 + 7x = 24 + -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. 50 + 7x + 6x = 24 + -6x + 6x Combine like terms: 7x + 6x = 13x 50 + 13x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 50 + 13x = 24 + 0 50 + 13x = 24 Add '-50' to each side of the equation. 50 + -50 + 13x = 24 + -50 Combine like terms: 50 + -50 = 0 0 + 13x = 24 + -50 13x = 24 + -50 Combine like terms: 24 + -50 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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