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Simplifying 3(4x + 1) + -1x = 4 + 3(2 + x) Reorder the terms: 3(1 + 4x) + -1x = 4 + 3(2 + x) (1 * 3 + 4x * 3) + -1x = 4 + 3(2 + x) (3 + 12x) + -1x = 4 + 3(2 + x) Combine like terms: 12x + -1x = 11x 3 + 11x = 4 + 3(2 + x) 3 + 11x = 4 + (2 * 3 + x * 3) 3 + 11x = 4 + (6 + 3x) Combine like terms: 4 + 6 = 10 3 + 11x = 10 + 3x Solving 3 + 11x = 10 + 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. 3 + 11x + -3x = 10 + 3x + -3x Combine like terms: 11x + -3x = 8x 3 + 8x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 8x = 10 + 0 3 + 8x = 10 Add '-3' to each side of the equation. 3 + -3 + 8x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 10 + -3 8x = 10 + -3 Combine like terms: 10 + -3 = 7 8x = 7 Divide each side by '8'. x = 0.875 Simplifying x = 0.875
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