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Simplifying 2(4x + 1) + -2x + 4 = -12 Reorder the terms: 2(1 + 4x) + -2x + 4 = -12 (1 * 2 + 4x * 2) + -2x + 4 = -12 (2 + 8x) + -2x + 4 = -12 Reorder the terms: 2 + 4 + 8x + -2x = -12 Combine like terms: 2 + 4 = 6 6 + 8x + -2x = -12 Combine like terms: 8x + -2x = 6x 6 + 6x = -12 Solving 6 + 6x = -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 + 6x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -12 + -6 6x = -12 + -6 Combine like terms: -12 + -6 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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