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Simplifying 3(7x + -2) = 2(4x + 1) Reorder the terms: 3(-2 + 7x) = 2(4x + 1) (-2 * 3 + 7x * 3) = 2(4x + 1) (-6 + 21x) = 2(4x + 1) Reorder the terms: -6 + 21x = 2(1 + 4x) -6 + 21x = (1 * 2 + 4x * 2) -6 + 21x = (2 + 8x) Solving -6 + 21x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 21x + -8x = 2 + 8x + -8x Combine like terms: 21x + -8x = 13x -6 + 13x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 13x = 2 + 0 -6 + 13x = 2 Add '6' to each side of the equation. -6 + 6 + 13x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 2 + 6 13x = 2 + 6 Combine like terms: 2 + 6 = 8 13x = 8 Divide each side by '13'. x = 0.6153846154 Simplifying x = 0.6153846154
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