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Simplifying 2(4x + 1) = 2x + -4 Reorder the terms: 2(1 + 4x) = 2x + -4 (1 * 2 + 4x * 2) = 2x + -4 (2 + 8x) = 2x + -4 Reorder the terms: 2 + 8x = -4 + 2x Solving 2 + 8x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 8x + -2x = -4 + 2x + -2x Combine like terms: 8x + -2x = 6x 2 + 6x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 6x = -4 + 0 2 + 6x = -4 Add '-2' to each side of the equation. 2 + -2 + 6x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -4 + -2 6x = -4 + -2 Combine like terms: -4 + -2 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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