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Simplifying -6 + -2x = 4(2x + -4) Reorder the terms: -6 + -2x = 4(-4 + 2x) -6 + -2x = (-4 * 4 + 2x * 4) -6 + -2x = (-16 + 8x) Solving -6 + -2x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + -2x + -8x = -16 + 8x + -8x Combine like terms: -2x + -8x = -10x -6 + -10x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -10x = -16 + 0 -6 + -10x = -16 Add '6' to each side of the equation. -6 + 6 + -10x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = -16 + 6 -10x = -16 + 6 Combine like terms: -16 + 6 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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