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Simplifying 6x + 1 + -3(x + 1) = 8x + 2 Reorder the terms: 6x + 1 + -3(1 + x) = 8x + 2 6x + 1 + (1 * -3 + x * -3) = 8x + 2 6x + 1 + (-3 + -3x) = 8x + 2 Reorder the terms: 1 + -3 + 6x + -3x = 8x + 2 Combine like terms: 1 + -3 = -2 -2 + 6x + -3x = 8x + 2 Combine like terms: 6x + -3x = 3x -2 + 3x = 8x + 2 Reorder the terms: -2 + 3x = 2 + 8x Solving -2 + 3x = 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. -2 + 3x + -8x = 2 + 8x + -8x Combine like terms: 3x + -8x = -5x -2 + -5x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -5x = 2 + 0 -2 + -5x = 2 Add '2' to each side of the equation. -2 + 2 + -5x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 2 + 2 -5x = 2 + 2 Combine like terms: 2 + 2 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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