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Simplifying 10(x + 5) = 7(x + 8) Reorder the terms: 10(5 + x) = 7(x + 8) (5 * 10 + x * 10) = 7(x + 8) (50 + 10x) = 7(x + 8) Reorder the terms: 50 + 10x = 7(8 + x) 50 + 10x = (8 * 7 + x * 7) 50 + 10x = (56 + 7x) Solving 50 + 10x = 56 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 50 + 10x + -7x = 56 + 7x + -7x Combine like terms: 10x + -7x = 3x 50 + 3x = 56 + 7x + -7x Combine like terms: 7x + -7x = 0 50 + 3x = 56 + 0 50 + 3x = 56 Add '-50' to each side of the equation. 50 + -50 + 3x = 56 + -50 Combine like terms: 50 + -50 = 0 0 + 3x = 56 + -50 3x = 56 + -50 Combine like terms: 56 + -50 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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