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Simplifying 12 + 4x = 3 + 4(2x + 6) Reorder the terms: 12 + 4x = 3 + 4(6 + 2x) 12 + 4x = 3 + (6 * 4 + 2x * 4) 12 + 4x = 3 + (24 + 8x) Combine like terms: 3 + 24 = 27 12 + 4x = 27 + 8x Solving 12 + 4x = 27 + 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 + 4x + -8x = 27 + 8x + -8x Combine like terms: 4x + -8x = -4x 12 + -4x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -4x = 27 + 0 12 + -4x = 27 Add '-12' to each side of the equation. 12 + -12 + -4x = 27 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 27 + -12 -4x = 27 + -12 Combine like terms: 27 + -12 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75
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