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Simplifying 3(2x + 1) + x = -2(1 + 3x) + -1x Reorder the terms: 3(1 + 2x) + x = -2(1 + 3x) + -1x (1 * 3 + 2x * 3) + x = -2(1 + 3x) + -1x (3 + 6x) + x = -2(1 + 3x) + -1x Combine like terms: 6x + x = 7x 3 + 7x = -2(1 + 3x) + -1x 3 + 7x = (1 * -2 + 3x * -2) + -1x 3 + 7x = (-2 + -6x) + -1x Combine like terms: -6x + -1x = -7x 3 + 7x = -2 + -7x Solving 3 + 7x = -2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3 + 7x + 7x = -2 + -7x + 7x Combine like terms: 7x + 7x = 14x 3 + 14x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 3 + 14x = -2 + 0 3 + 14x = -2 Add '-3' to each side of the equation. 3 + -3 + 14x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = -2 + -3 14x = -2 + -3 Combine like terms: -2 + -3 = -5 14x = -5 Divide each side by '14'. x = -0.3571428571 Simplifying x = -0.3571428571
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