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Simplifying 2(5x + -1) = 8(x + 1) Reorder the terms: 2(-1 + 5x) = 8(x + 1) (-1 * 2 + 5x * 2) = 8(x + 1) (-2 + 10x) = 8(x + 1) Reorder the terms: -2 + 10x = 8(1 + x) -2 + 10x = (1 * 8 + x * 8) -2 + 10x = (8 + 8x) Solving -2 + 10x = 8 + 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. -2 + 10x + -8x = 8 + 8x + -8x Combine like terms: 10x + -8x = 2x -2 + 2x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 2x = 8 + 0 -2 + 2x = 8 Add '2' to each side of the equation. -2 + 2 + 2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 8 + 2 2x = 8 + 2 Combine like terms: 8 + 2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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