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Simplifying 20 + 11x = 7(x + 12) Reorder the terms: 20 + 11x = 7(12 + x) 20 + 11x = (12 * 7 + x * 7) 20 + 11x = (84 + 7x) Solving 20 + 11x = 84 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 11x + -7x = 84 + 7x + -7x Combine like terms: 11x + -7x = 4x 20 + 4x = 84 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + 4x = 84 + 0 20 + 4x = 84 Add '-20' to each side of the equation. 20 + -20 + 4x = 84 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 84 + -20 4x = 84 + -20 Combine like terms: 84 + -20 = 64 4x = 64 Divide each side by '4'. x = 16 Simplifying x = 16
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