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Simplifying 4 + 2(x + 8) = 2(2x + 2) + 8 Reorder the terms: 4 + 2(8 + x) = 2(2x + 2) + 8 4 + (8 * 2 + x * 2) = 2(2x + 2) + 8 4 + (16 + 2x) = 2(2x + 2) + 8 Combine like terms: 4 + 16 = 20 20 + 2x = 2(2x + 2) + 8 Reorder the terms: 20 + 2x = 2(2 + 2x) + 8 20 + 2x = (2 * 2 + 2x * 2) + 8 20 + 2x = (4 + 4x) + 8 Reorder the terms: 20 + 2x = 4 + 8 + 4x Combine like terms: 4 + 8 = 12 20 + 2x = 12 + 4x Solving 20 + 2x = 12 + 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. 20 + 2x + -4x = 12 + 4x + -4x Combine like terms: 2x + -4x = -2x 20 + -2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -2x = 12 + 0 20 + -2x = 12 Add '-20' to each side of the equation. 20 + -20 + -2x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 12 + -20 -2x = 12 + -20 Combine like terms: 12 + -20 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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