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Simplifying 8(2x + 5) = 6(x + 10) Reorder the terms: 8(5 + 2x) = 6(x + 10) (5 * 8 + 2x * 8) = 6(x + 10) (40 + 16x) = 6(x + 10) Reorder the terms: 40 + 16x = 6(10 + x) 40 + 16x = (10 * 6 + x * 6) 40 + 16x = (60 + 6x) Solving 40 + 16x = 60 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + 16x + -6x = 60 + 6x + -6x Combine like terms: 16x + -6x = 10x 40 + 10x = 60 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + 10x = 60 + 0 40 + 10x = 60 Add '-40' to each side of the equation. 40 + -40 + 10x = 60 + -40 Combine like terms: 40 + -40 = 0 0 + 10x = 60 + -40 10x = 60 + -40 Combine like terms: 60 + -40 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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