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Simplifying 6x + 2(3x + -1) = 8(x + 1) Reorder the terms: 6x + 2(-1 + 3x) = 8(x + 1) 6x + (-1 * 2 + 3x * 2) = 8(x + 1) 6x + (-2 + 6x) = 8(x + 1) Reorder the terms: -2 + 6x + 6x = 8(x + 1) Combine like terms: 6x + 6x = 12x -2 + 12x = 8(x + 1) Reorder the terms: -2 + 12x = 8(1 + x) -2 + 12x = (1 * 8 + x * 8) -2 + 12x = (8 + 8x) Solving -2 + 12x = 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 + 12x + -8x = 8 + 8x + -8x Combine like terms: 12x + -8x = 4x -2 + 4x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 4x = 8 + 0 -2 + 4x = 8 Add '2' to each side of the equation. -2 + 2 + 4x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 8 + 2 4x = 8 + 2 Combine like terms: 8 + 2 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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