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Simplifying 3x + -8(1 + -1x) = 6x + 2(x + 5) 3x + (1 * -8 + -1x * -8) = 6x + 2(x + 5) 3x + (-8 + 8x) = 6x + 2(x + 5) Reorder the terms: -8 + 3x + 8x = 6x + 2(x + 5) Combine like terms: 3x + 8x = 11x -8 + 11x = 6x + 2(x + 5) Reorder the terms: -8 + 11x = 6x + 2(5 + x) -8 + 11x = 6x + (5 * 2 + x * 2) -8 + 11x = 6x + (10 + 2x) Reorder the terms: -8 + 11x = 10 + 6x + 2x Combine like terms: 6x + 2x = 8x -8 + 11x = 10 + 8x Solving -8 + 11x = 10 + 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 + 11x + -8x = 10 + 8x + -8x Combine like terms: 11x + -8x = 3x -8 + 3x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 3x = 10 + 0 -8 + 3x = 10 Add '8' to each side of the equation. -8 + 8 + 3x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 10 + 8 3x = 10 + 8 Combine like terms: 10 + 8 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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