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Simplifying 8x + 1 + -1(4x + 2) = 3x Reorder the terms: 8x + 1 + -1(2 + 4x) = 3x 8x + 1 + (2 * -1 + 4x * -1) = 3x 8x + 1 + (-2 + -4x) = 3x Reorder the terms: 1 + -2 + 8x + -4x = 3x Combine like terms: 1 + -2 = -1 -1 + 8x + -4x = 3x Combine like terms: 8x + -4x = 4x -1 + 4x = 3x Solving -1 + 4x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x -1 + 1x = 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 1x = 0 Add '1' to each side of the equation. -1 + 1 + 1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 0 + 1 1x = 0 + 1 Combine like terms: 0 + 1 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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