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Simplifying 2(5 + 3x) = 4(x + 4) (5 * 2 + 3x * 2) = 4(x + 4) (10 + 6x) = 4(x + 4) Reorder the terms: 10 + 6x = 4(4 + x) 10 + 6x = (4 * 4 + x * 4) 10 + 6x = (16 + 4x) Solving 10 + 6x = 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 + 6x + -4x = 16 + 4x + -4x Combine like terms: 6x + -4x = 2x 10 + 2x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 2x = 16 + 0 10 + 2x = 16 Add '-10' to each side of the equation. 10 + -10 + 2x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 16 + -10 2x = 16 + -10 Combine like terms: 16 + -10 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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