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Simplifying 2x + 4(x + 2) = 2(x + 8) Reorder the terms: 2x + 4(2 + x) = 2(x + 8) 2x + (2 * 4 + x * 4) = 2(x + 8) 2x + (8 + 4x) = 2(x + 8) Reorder the terms: 8 + 2x + 4x = 2(x + 8) Combine like terms: 2x + 4x = 6x 8 + 6x = 2(x + 8) Reorder the terms: 8 + 6x = 2(8 + x) 8 + 6x = (8 * 2 + x * 2) 8 + 6x = (16 + 2x) Solving 8 + 6x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 6x + -2x = 16 + 2x + -2x Combine like terms: 6x + -2x = 4x 8 + 4x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 4x = 16 + 0 8 + 4x = 16 Add '-8' to each side of the equation. 8 + -8 + 4x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 16 + -8 4x = 16 + -8 Combine like terms: 16 + -8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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