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Simplifying 3(4x + 1) + -1(x + 2) = 4 + -1(3x + -2) Reorder the terms: 3(1 + 4x) + -1(x + 2) = 4 + -1(3x + -2) (1 * 3 + 4x * 3) + -1(x + 2) = 4 + -1(3x + -2) (3 + 12x) + -1(x + 2) = 4 + -1(3x + -2) Reorder the terms: 3 + 12x + -1(2 + x) = 4 + -1(3x + -2) 3 + 12x + (2 * -1 + x * -1) = 4 + -1(3x + -2) 3 + 12x + (-2 + -1x) = 4 + -1(3x + -2) Reorder the terms: 3 + -2 + 12x + -1x = 4 + -1(3x + -2) Combine like terms: 3 + -2 = 1 1 + 12x + -1x = 4 + -1(3x + -2) Combine like terms: 12x + -1x = 11x 1 + 11x = 4 + -1(3x + -2) Reorder the terms: 1 + 11x = 4 + -1(-2 + 3x) 1 + 11x = 4 + (-2 * -1 + 3x * -1) 1 + 11x = 4 + (2 + -3x) Combine like terms: 4 + 2 = 6 1 + 11x = 6 + -3x Solving 1 + 11x = 6 + -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. 1 + 11x + 3x = 6 + -3x + 3x Combine like terms: 11x + 3x = 14x 1 + 14x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 14x = 6 + 0 1 + 14x = 6 Add '-1' to each side of the equation. 1 + -1 + 14x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = 6 + -1 14x = 6 + -1 Combine like terms: 6 + -1 = 5 14x = 5 Divide each side by '14'. x = 0.3571428571 Simplifying x = 0.3571428571
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