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Simplifying (1 + x) * 3 = 11 + x Reorder the terms for easier multiplication: 3(1 + x) = 11 + x (1 * 3 + x * 3) = 11 + x (3 + 3x) = 11 + x Solving 3 + 3x = 11 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 3x + -1x = 11 + x + -1x Combine like terms: 3x + -1x = 2x 3 + 2x = 11 + x + -1x Combine like terms: x + -1x = 0 3 + 2x = 11 + 0 3 + 2x = 11 Add '-3' to each side of the equation. 3 + -3 + 2x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 11 + -3 2x = 11 + -3 Combine like terms: 11 + -3 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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