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