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Simplifying 3(7x + 1) = 2(3x + -5) Reorder the terms: 3(1 + 7x) = 2(3x + -5) (1 * 3 + 7x * 3) = 2(3x + -5) (3 + 21x) = 2(3x + -5) Reorder the terms: 3 + 21x = 2(-5 + 3x) 3 + 21x = (-5 * 2 + 3x * 2) 3 + 21x = (-10 + 6x) Solving 3 + 21x = -10 + 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 + 21x + -6x = -10 + 6x + -6x Combine like terms: 21x + -6x = 15x 3 + 15x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 15x = -10 + 0 3 + 15x = -10 Add '-3' to each side of the equation. 3 + -3 + 15x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 15x = -10 + -3 15x = -10 + -3 Combine like terms: -10 + -3 = -13 15x = -13 Divide each side by '15'. x = -0.8666666667 Simplifying x = -0.8666666667
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