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Simplifying x + 4(1 + x) = 3(x + 4) x + (1 * 4 + x * 4) = 3(x + 4) x + (4 + 4x) = 3(x + 4) Reorder the terms: 4 + x + 4x = 3(x + 4) Combine like terms: x + 4x = 5x 4 + 5x = 3(x + 4) Reorder the terms: 4 + 5x = 3(4 + x) 4 + 5x = (4 * 3 + x * 3) 4 + 5x = (12 + 3x) Solving 4 + 5x = 12 + 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. 4 + 5x + -3x = 12 + 3x + -3x Combine like terms: 5x + -3x = 2x 4 + 2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 2x = 12 + 0 4 + 2x = 12 Add '-4' to each side of the equation. 4 + -4 + 2x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 12 + -4 2x = 12 + -4 Combine like terms: 12 + -4 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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