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Simplifying 3(x + 1) + 1 = 8 + -2x Reorder the terms: 3(1 + x) + 1 = 8 + -2x (1 * 3 + x * 3) + 1 = 8 + -2x (3 + 3x) + 1 = 8 + -2x Reorder the terms: 3 + 1 + 3x = 8 + -2x Combine like terms: 3 + 1 = 4 4 + 3x = 8 + -2x Solving 4 + 3x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 3x + 2x = 8 + -2x + 2x Combine like terms: 3x + 2x = 5x 4 + 5x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 5x = 8 + 0 4 + 5x = 8 Add '-4' to each side of the equation. 4 + -4 + 5x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 8 + -4 5x = 8 + -4 Combine like terms: 8 + -4 = 4 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8
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