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Simplifying -4x + -2(3x + 2) = 4 + -2x Reorder the terms: -4x + -2(2 + 3x) = 4 + -2x -4x + (2 * -2 + 3x * -2) = 4 + -2x -4x + (-4 + -6x) = 4 + -2x Reorder the terms: -4 + -4x + -6x = 4 + -2x Combine like terms: -4x + -6x = -10x -4 + -10x = 4 + -2x Solving -4 + -10x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + -10x + 2x = 4 + -2x + 2x Combine like terms: -10x + 2x = -8x -4 + -8x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -8x = 4 + 0 -4 + -8x = 4 Add '4' to each side of the equation. -4 + 4 + -8x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 4 + 4 -8x = 4 + 4 Combine like terms: 4 + 4 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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