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Simplifying -2 + 2(8x + 5) = 8(x + 5) Reorder the terms: -2 + 2(5 + 8x) = 8(x + 5) -2 + (5 * 2 + 8x * 2) = 8(x + 5) -2 + (10 + 16x) = 8(x + 5) Combine like terms: -2 + 10 = 8 8 + 16x = 8(x + 5) Reorder the terms: 8 + 16x = 8(5 + x) 8 + 16x = (5 * 8 + x * 8) 8 + 16x = (40 + 8x) Solving 8 + 16x = 40 + 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. 8 + 16x + -8x = 40 + 8x + -8x Combine like terms: 16x + -8x = 8x 8 + 8x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 8x = 40 + 0 8 + 8x = 40 Add '-8' to each side of the equation. 8 + -8 + 8x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 40 + -8 8x = 40 + -8 Combine like terms: 40 + -8 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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