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Simplifying 2x + 7(3x + -2) = 2(x + -1) Reorder the terms: 2x + 7(-2 + 3x) = 2(x + -1) 2x + (-2 * 7 + 3x * 7) = 2(x + -1) 2x + (-14 + 21x) = 2(x + -1) Reorder the terms: -14 + 2x + 21x = 2(x + -1) Combine like terms: 2x + 21x = 23x -14 + 23x = 2(x + -1) Reorder the terms: -14 + 23x = 2(-1 + x) -14 + 23x = (-1 * 2 + x * 2) -14 + 23x = (-2 + 2x) Solving -14 + 23x = -2 + 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. -14 + 23x + -2x = -2 + 2x + -2x Combine like terms: 23x + -2x = 21x -14 + 21x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 21x = -2 + 0 -14 + 21x = -2 Add '14' to each side of the equation. -14 + 14 + 21x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 21x = -2 + 14 21x = -2 + 14 Combine like terms: -2 + 14 = 12 21x = 12 Divide each side by '21'. x = 0.5714285714 Simplifying x = 0.5714285714
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