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Simplifying x + 2[7x + (-2 + 3x)] = 14 + -3(7 + -1x) Remove parenthesis around (-2 + 3x) x + 2[7x + -2 + 3x] = 14 + -3(7 + -1x) Reorder the terms: x + 2[-2 + 7x + 3x] = 14 + -3(7 + -1x) Combine like terms: 7x + 3x = 10x x + 2[-2 + 10x] = 14 + -3(7 + -1x) x + [-2 * 2 + 10x * 2] = 14 + -3(7 + -1x) x + [-4 + 20x] = 14 + -3(7 + -1x) Reorder the terms: -4 + x + 20x = 14 + -3(7 + -1x) Combine like terms: x + 20x = 21x -4 + 21x = 14 + -3(7 + -1x) -4 + 21x = 14 + (7 * -3 + -1x * -3) -4 + 21x = 14 + (-21 + 3x) Combine like terms: 14 + -21 = -7 -4 + 21x = -7 + 3x Solving -4 + 21x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 21x + -3x = -7 + 3x + -3x Combine like terms: 21x + -3x = 18x -4 + 18x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 18x = -7 + 0 -4 + 18x = -7 Add '4' to each side of the equation. -4 + 4 + 18x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = -7 + 4 18x = -7 + 4 Combine like terms: -7 + 4 = -3 18x = -3 Divide each side by '18'. x = -0.1666666667 Simplifying x = -0.1666666667
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