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Simplifying 4(2x + 1) = 2(2x + -12) Reorder the terms: 4(1 + 2x) = 2(2x + -12) (1 * 4 + 2x * 4) = 2(2x + -12) (4 + 8x) = 2(2x + -12) Reorder the terms: 4 + 8x = 2(-12 + 2x) 4 + 8x = (-12 * 2 + 2x * 2) 4 + 8x = (-24 + 4x) Solving 4 + 8x = -24 + 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 = -24 + 4x + -4x Combine like terms: 8x + -4x = 4x 4 + 4x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 4x = -24 + 0 4 + 4x = -24 Add '-4' to each side of the equation. 4 + -4 + 4x = -24 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = -24 + -4 4x = -24 + -4 Combine like terms: -24 + -4 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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