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Simplifying 4(3x + 6) + 12 = 3(2x + 6) + 2x Reorder the terms: 4(6 + 3x) + 12 = 3(2x + 6) + 2x (6 * 4 + 3x * 4) + 12 = 3(2x + 6) + 2x (24 + 12x) + 12 = 3(2x + 6) + 2x Reorder the terms: 24 + 12 + 12x = 3(2x + 6) + 2x Combine like terms: 24 + 12 = 36 36 + 12x = 3(2x + 6) + 2x Reorder the terms: 36 + 12x = 3(6 + 2x) + 2x 36 + 12x = (6 * 3 + 2x * 3) + 2x 36 + 12x = (18 + 6x) + 2x Combine like terms: 6x + 2x = 8x 36 + 12x = 18 + 8x Solving 36 + 12x = 18 + 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. 36 + 12x + -8x = 18 + 8x + -8x Combine like terms: 12x + -8x = 4x 36 + 4x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + 4x = 18 + 0 36 + 4x = 18 Add '-36' to each side of the equation. 36 + -36 + 4x = 18 + -36 Combine like terms: 36 + -36 = 0 0 + 4x = 18 + -36 4x = 18 + -36 Combine like terms: 18 + -36 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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