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Simplifying 8x + -1(6 + 3x) = 4(x + -2) 8x + (6 * -1 + 3x * -1) = 4(x + -2) 8x + (-6 + -3x) = 4(x + -2) Reorder the terms: -6 + 8x + -3x = 4(x + -2) Combine like terms: 8x + -3x = 5x -6 + 5x = 4(x + -2) Reorder the terms: -6 + 5x = 4(-2 + x) -6 + 5x = (-2 * 4 + x * 4) -6 + 5x = (-8 + 4x) Solving -6 + 5x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 5x + -4x = -8 + 4x + -4x Combine like terms: 5x + -4x = 1x -6 + 1x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 1x = -8 + 0 -6 + 1x = -8 Add '6' to each side of the equation. -6 + 6 + 1x = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -8 + 6 1x = -8 + 6 Combine like terms: -8 + 6 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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