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Simplifying 6x + 1 + -2(x + 1) = 8x + 2 Reorder the terms: 6x + 1 + -2(1 + x) = 8x + 2 6x + 1 + (1 * -2 + x * -2) = 8x + 2 6x + 1 + (-2 + -2x) = 8x + 2 Reorder the terms: 1 + -2 + 6x + -2x = 8x + 2 Combine like terms: 1 + -2 = -1 -1 + 6x + -2x = 8x + 2 Combine like terms: 6x + -2x = 4x -1 + 4x = 8x + 2 Reorder the terms: -1 + 4x = 2 + 8x Solving -1 + 4x = 2 + 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. -1 + 4x + -8x = 2 + 8x + -8x Combine like terms: 4x + -8x = -4x -1 + -4x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -4x = 2 + 0 -1 + -4x = 2 Add '1' to each side of the equation. -1 + 1 + -4x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 2 + 1 -4x = 2 + 1 Combine like terms: 2 + 1 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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