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