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Simplifying 4(3x + 12) = 2(2x + 4) Reorder the terms: 4(12 + 3x) = 2(2x + 4) (12 * 4 + 3x * 4) = 2(2x + 4) (48 + 12x) = 2(2x + 4) Reorder the terms: 48 + 12x = 2(4 + 2x) 48 + 12x = (4 * 2 + 2x * 2) 48 + 12x = (8 + 4x) Solving 48 + 12x = 8 + 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. 48 + 12x + -4x = 8 + 4x + -4x Combine like terms: 12x + -4x = 8x 48 + 8x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + 8x = 8 + 0 48 + 8x = 8 Add '-48' to each side of the equation. 48 + -48 + 8x = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 8x = 8 + -48 8x = 8 + -48 Combine like terms: 8 + -48 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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