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Simplifying -4(8 + 3x) + -2x = 6x + 8 (8 * -4 + 3x * -4) + -2x = 6x + 8 (-32 + -12x) + -2x = 6x + 8 Combine like terms: -12x + -2x = -14x -32 + -14x = 6x + 8 Reorder the terms: -32 + -14x = 8 + 6x Solving -32 + -14x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + -14x + -6x = 8 + 6x + -6x Combine like terms: -14x + -6x = -20x -32 + -20x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + -20x = 8 + 0 -32 + -20x = 8 Add '32' to each side of the equation. -32 + 32 + -20x = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -20x = 8 + 32 -20x = 8 + 32 Combine like terms: 8 + 32 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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