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Simplifying 11(x + 4) = 12x + 4(x + 6) Reorder the terms: 11(4 + x) = 12x + 4(x + 6) (4 * 11 + x * 11) = 12x + 4(x + 6) (44 + 11x) = 12x + 4(x + 6) Reorder the terms: 44 + 11x = 12x + 4(6 + x) 44 + 11x = 12x + (6 * 4 + x * 4) 44 + 11x = 12x + (24 + 4x) Reorder the terms: 44 + 11x = 24 + 12x + 4x Combine like terms: 12x + 4x = 16x 44 + 11x = 24 + 16x Solving 44 + 11x = 24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 44 + 11x + -16x = 24 + 16x + -16x Combine like terms: 11x + -16x = -5x 44 + -5x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 44 + -5x = 24 + 0 44 + -5x = 24 Add '-44' to each side of the equation. 44 + -44 + -5x = 24 + -44 Combine like terms: 44 + -44 = 0 0 + -5x = 24 + -44 -5x = 24 + -44 Combine like terms: 24 + -44 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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