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Simplifying 2(x + 4) + 20 = 4(x + 5) Reorder the terms: 2(4 + x) + 20 = 4(x + 5) (4 * 2 + x * 2) + 20 = 4(x + 5) (8 + 2x) + 20 = 4(x + 5) Reorder the terms: 8 + 20 + 2x = 4(x + 5) Combine like terms: 8 + 20 = 28 28 + 2x = 4(x + 5) Reorder the terms: 28 + 2x = 4(5 + x) 28 + 2x = (5 * 4 + x * 4) 28 + 2x = (20 + 4x) Solving 28 + 2x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 28 + 2x + -4x = 20 + 4x + -4x Combine like terms: 2x + -4x = -2x 28 + -2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + -2x = 20 + 0 28 + -2x = 20 Add '-28' to each side of the equation. 28 + -28 + -2x = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = 20 + -28 -2x = 20 + -28 Combine like terms: 20 + -28 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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