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Simplifying 6 + -2(x + 1) = 2 + -3x Reorder the terms: 6 + -2(1 + x) = 2 + -3x 6 + (1 * -2 + x * -2) = 2 + -3x 6 + (-2 + -2x) = 2 + -3x Combine like terms: 6 + -2 = 4 4 + -2x = 2 + -3x Solving 4 + -2x = 2 + -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 + -2x + 3x = 2 + -3x + 3x Combine like terms: -2x + 3x = 1x 4 + 1x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 1x = 2 + 0 4 + 1x = 2 Add '-4' to each side of the equation. 4 + -4 + 1x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 2 + -4 1x = 2 + -4 Combine like terms: 2 + -4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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