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Simplifying 3(2 + -7x) = 8 + -5(1 + -4x) (2 * 3 + -7x * 3) = 8 + -5(1 + -4x) (6 + -21x) = 8 + -5(1 + -4x) 6 + -21x = 8 + (1 * -5 + -4x * -5) 6 + -21x = 8 + (-5 + 20x) Combine like terms: 8 + -5 = 3 6 + -21x = 3 + 20x Solving 6 + -21x = 3 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + -21x + -20x = 3 + 20x + -20x Combine like terms: -21x + -20x = -41x 6 + -41x = 3 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -41x = 3 + 0 6 + -41x = 3 Add '-6' to each side of the equation. 6 + -6 + -41x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -41x = 3 + -6 -41x = 3 + -6 Combine like terms: 3 + -6 = -3 -41x = -3 Divide each side by '-41'. x = 0.07317073171 Simplifying x = 0.07317073171
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