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Simplifying 10(x + 5) = 4(2x + 4) Reorder the terms: 10(5 + x) = 4(2x + 4) (5 * 10 + x * 10) = 4(2x + 4) (50 + 10x) = 4(2x + 4) Reorder the terms: 50 + 10x = 4(4 + 2x) 50 + 10x = (4 * 4 + 2x * 4) 50 + 10x = (16 + 8x) Solving 50 + 10x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 50 + 10x + -8x = 16 + 8x + -8x Combine like terms: 10x + -8x = 2x 50 + 2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 50 + 2x = 16 + 0 50 + 2x = 16 Add '-50' to each side of the equation. 50 + -50 + 2x = 16 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = 16 + -50 2x = 16 + -50 Combine like terms: 16 + -50 = -34 2x = -34 Divide each side by '2'. x = -17 Simplifying x = -17
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