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Simplifying 7(x + 3) + 5 = 1 + -3(x + 2) Reorder the terms: 7(3 + x) + 5 = 1 + -3(x + 2) (3 * 7 + x * 7) + 5 = 1 + -3(x + 2) (21 + 7x) + 5 = 1 + -3(x + 2) Reorder the terms: 21 + 5 + 7x = 1 + -3(x + 2) Combine like terms: 21 + 5 = 26 26 + 7x = 1 + -3(x + 2) Reorder the terms: 26 + 7x = 1 + -3(2 + x) 26 + 7x = 1 + (2 * -3 + x * -3) 26 + 7x = 1 + (-6 + -3x) Combine like terms: 1 + -6 = -5 26 + 7x = -5 + -3x Solving 26 + 7x = -5 + -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. 26 + 7x + 3x = -5 + -3x + 3x Combine like terms: 7x + 3x = 10x 26 + 10x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 26 + 10x = -5 + 0 26 + 10x = -5 Add '-26' to each side of the equation. 26 + -26 + 10x = -5 + -26 Combine like terms: 26 + -26 = 0 0 + 10x = -5 + -26 10x = -5 + -26 Combine like terms: -5 + -26 = -31 10x = -31 Divide each side by '10'. x = -3.1 Simplifying x = -3.1
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