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Simplifying x + 3(4x + 1) = 4(x + 1) + 2x Reorder the terms: x + 3(1 + 4x) = 4(x + 1) + 2x x + (1 * 3 + 4x * 3) = 4(x + 1) + 2x x + (3 + 12x) = 4(x + 1) + 2x Reorder the terms: 3 + x + 12x = 4(x + 1) + 2x Combine like terms: x + 12x = 13x 3 + 13x = 4(x + 1) + 2x Reorder the terms: 3 + 13x = 4(1 + x) + 2x 3 + 13x = (1 * 4 + x * 4) + 2x 3 + 13x = (4 + 4x) + 2x Combine like terms: 4x + 2x = 6x 3 + 13x = 4 + 6x Solving 3 + 13x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 13x + -6x = 4 + 6x + -6x Combine like terms: 13x + -6x = 7x 3 + 7x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 7x = 4 + 0 3 + 7x = 4 Add '-3' to each side of the equation. 3 + -3 + 7x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 4 + -3 7x = 4 + -3 Combine like terms: 4 + -3 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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