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Simplifying 2(3x + 1) = 2x + -1(3 + -7x) Reorder the terms: 2(1 + 3x) = 2x + -1(3 + -7x) (1 * 2 + 3x * 2) = 2x + -1(3 + -7x) (2 + 6x) = 2x + -1(3 + -7x) 2 + 6x = 2x + (3 * -1 + -7x * -1) 2 + 6x = 2x + (-3 + 7x) Reorder the terms: 2 + 6x = -3 + 2x + 7x Combine like terms: 2x + 7x = 9x 2 + 6x = -3 + 9x Solving 2 + 6x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 6x + -9x = -3 + 9x + -9x Combine like terms: 6x + -9x = -3x 2 + -3x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -3x = -3 + 0 2 + -3x = -3 Add '-2' to each side of the equation. 2 + -2 + -3x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -3 + -2 -3x = -3 + -2 Combine like terms: -3 + -2 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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