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Simplifying x + 3(x + 1) = 2x + 8 Reorder the terms: x + 3(1 + x) = 2x + 8 x + (1 * 3 + x * 3) = 2x + 8 x + (3 + 3x) = 2x + 8 Reorder the terms: 3 + x + 3x = 2x + 8 Combine like terms: x + 3x = 4x 3 + 4x = 2x + 8 Reorder the terms: 3 + 4x = 8 + 2x Solving 3 + 4x = 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. 3 + 4x + -2x = 8 + 2x + -2x Combine like terms: 4x + -2x = 2x 3 + 2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 2x = 8 + 0 3 + 2x = 8 Add '-3' to each side of the equation. 3 + -3 + 2x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 8 + -3 2x = 8 + -3 Combine like terms: 8 + -3 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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