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Simplifying 3(x + 1) + -2 = 8 + -5(x + 7) Reorder the terms: 3(1 + x) + -2 = 8 + -5(x + 7) (1 * 3 + x * 3) + -2 = 8 + -5(x + 7) (3 + 3x) + -2 = 8 + -5(x + 7) Reorder the terms: 3 + -2 + 3x = 8 + -5(x + 7) Combine like terms: 3 + -2 = 1 1 + 3x = 8 + -5(x + 7) Reorder the terms: 1 + 3x = 8 + -5(7 + x) 1 + 3x = 8 + (7 * -5 + x * -5) 1 + 3x = 8 + (-35 + -5x) Combine like terms: 8 + -35 = -27 1 + 3x = -27 + -5x Solving 1 + 3x = -27 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + 3x + 5x = -27 + -5x + 5x Combine like terms: 3x + 5x = 8x 1 + 8x = -27 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 8x = -27 + 0 1 + 8x = -27 Add '-1' to each side of the equation. 1 + -1 + 8x = -27 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = -27 + -1 8x = -27 + -1 Combine like terms: -27 + -1 = -28 8x = -28 Divide each side by '8'. x = -3.5 Simplifying x = -3.5
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