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