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Simplifying 2(4x + 6) = -4(2x + 1) Reorder the terms: 2(6 + 4x) = -4(2x + 1) (6 * 2 + 4x * 2) = -4(2x + 1) (12 + 8x) = -4(2x + 1) Reorder the terms: 12 + 8x = -4(1 + 2x) 12 + 8x = (1 * -4 + 2x * -4) 12 + 8x = (-4 + -8x) Solving 12 + 8x = -4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + 8x + 8x = -4 + -8x + 8x Combine like terms: 8x + 8x = 16x 12 + 16x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 16x = -4 + 0 12 + 16x = -4 Add '-12' to each side of the equation. 12 + -12 + 16x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 16x = -4 + -12 16x = -4 + -12 Combine like terms: -4 + -12 = -16 16x = -16 Divide each side by '16'. x = -1 Simplifying x = -1
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