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Simplifying 5(x + 2) = 4(x + 4) Reorder the terms: 5(2 + x) = 4(x + 4) (2 * 5 + x * 5) = 4(x + 4) (10 + 5x) = 4(x + 4) Reorder the terms: 10 + 5x = 4(4 + x) 10 + 5x = (4 * 4 + x * 4) 10 + 5x = (16 + 4x) Solving 10 + 5x = 16 + 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. 10 + 5x + -4x = 16 + 4x + -4x Combine like terms: 5x + -4x = 1x 10 + 1x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 1x = 16 + 0 10 + 1x = 16 Add '-10' to each side of the equation. 10 + -10 + 1x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 16 + -10 1x = 16 + -10 Combine like terms: 16 + -10 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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