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Simplifying 12(x + 2) = 4(3x + 2) * 16 Reorder the terms: 12(2 + x) = 4(3x + 2) * 16 (2 * 12 + x * 12) = 4(3x + 2) * 16 (24 + 12x) = 4(3x + 2) * 16 Reorder the terms: 24 + 12x = 4(2 + 3x) * 16 Reorder the terms for easier multiplication: 24 + 12x = 4 * 16(2 + 3x) Multiply 4 * 16 24 + 12x = 64(2 + 3x) 24 + 12x = (2 * 64 + 3x * 64) 24 + 12x = (128 + 192x) Solving 24 + 12x = 128 + 192x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-192x' to each side of the equation. 24 + 12x + -192x = 128 + 192x + -192x Combine like terms: 12x + -192x = -180x 24 + -180x = 128 + 192x + -192x Combine like terms: 192x + -192x = 0 24 + -180x = 128 + 0 24 + -180x = 128 Add '-24' to each side of the equation. 24 + -24 + -180x = 128 + -24 Combine like terms: 24 + -24 = 0 0 + -180x = 128 + -24 -180x = 128 + -24 Combine like terms: 128 + -24 = 104 -180x = 104 Divide each side by '-180'. x = -0.5777777778 Simplifying x = -0.5777777778
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