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Simplifying 2(x + 3) = -2(7x + -2) + 6x Reorder the terms: 2(3 + x) = -2(7x + -2) + 6x (3 * 2 + x * 2) = -2(7x + -2) + 6x (6 + 2x) = -2(7x + -2) + 6x Reorder the terms: 6 + 2x = -2(-2 + 7x) + 6x 6 + 2x = (-2 * -2 + 7x * -2) + 6x 6 + 2x = (4 + -14x) + 6x Combine like terms: -14x + 6x = -8x 6 + 2x = 4 + -8x Solving 6 + 2x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 2x + 8x = 4 + -8x + 8x Combine like terms: 2x + 8x = 10x 6 + 10x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 10x = 4 + 0 6 + 10x = 4 Add '-6' to each side of the equation. 6 + -6 + 10x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 4 + -6 10x = 4 + -6 Combine like terms: 4 + -6 = -2 10x = -2 Divide each side by '10'. x = -0.2 Simplifying x = -0.2
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