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Simplifying 8 + -3(1 + -4x) = 3 + 7(3 + -2x) + -4(1 + -3x) 8 + (1 * -3 + -4x * -3) = 3 + 7(3 + -2x) + -4(1 + -3x) 8 + (-3 + 12x) = 3 + 7(3 + -2x) + -4(1 + -3x) Combine like terms: 8 + -3 = 5 5 + 12x = 3 + 7(3 + -2x) + -4(1 + -3x) 5 + 12x = 3 + (3 * 7 + -2x * 7) + -4(1 + -3x) 5 + 12x = 3 + (21 + -14x) + -4(1 + -3x) 5 + 12x = 3 + 21 + -14x + (1 * -4 + -3x * -4) 5 + 12x = 3 + 21 + -14x + (-4 + 12x) Reorder the terms: 5 + 12x = 3 + 21 + -4 + -14x + 12x Combine like terms: 3 + 21 = 24 5 + 12x = 24 + -4 + -14x + 12x Combine like terms: 24 + -4 = 20 5 + 12x = 20 + -14x + 12x Combine like terms: -14x + 12x = -2x 5 + 12x = 20 + -2x Solving 5 + 12x = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 12x + 2x = 20 + -2x + 2x Combine like terms: 12x + 2x = 14x 5 + 14x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 14x = 20 + 0 5 + 14x = 20 Add '-5' to each side of the equation. 5 + -5 + 14x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 14x = 20 + -5 14x = 20 + -5 Combine like terms: 20 + -5 = 15 14x = 15 Divide each side by '14'. x = 1.071428571 Simplifying x = 1.071428571
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