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Simplifying 4(x + 2) + 2(x + 4) = 40 Reorder the terms: 4(2 + x) + 2(x + 4) = 40 (2 * 4 + x * 4) + 2(x + 4) = 40 (8 + 4x) + 2(x + 4) = 40 Reorder the terms: 8 + 4x + 2(4 + x) = 40 8 + 4x + (4 * 2 + x * 2) = 40 8 + 4x + (8 + 2x) = 40 Reorder the terms: 8 + 8 + 4x + 2x = 40 Combine like terms: 8 + 8 = 16 16 + 4x + 2x = 40 Combine like terms: 4x + 2x = 6x 16 + 6x = 40 Solving 16 + 6x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 6x = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 40 + -16 6x = 40 + -16 Combine like terms: 40 + -16 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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