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Simplifying 8 + -2(x + 1) + 3x = 12 Reorder the terms: 8 + -2(1 + x) + 3x = 12 8 + (1 * -2 + x * -2) + 3x = 12 8 + (-2 + -2x) + 3x = 12 Combine like terms: 8 + -2 = 6 6 + -2x + 3x = 12 Combine like terms: -2x + 3x = 1x 6 + 1x = 12 Solving 6 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 12 + -6 1x = 12 + -6 Combine like terms: 12 + -6 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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