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Simplifying -6x + -1(4 + -2x) + -4 = -2(1 + -2x) + -2(-5) -6x + (4 * -1 + -2x * -1) + -4 = -2(1 + -2x) + -2(-5) -6x + (-4 + 2x) + -4 = -2(1 + -2x) + -2(-5) Reorder the terms: -4 + -4 + -6x + 2x = -2(1 + -2x) + -2(-5) Combine like terms: -4 + -4 = -8 -8 + -6x + 2x = -2(1 + -2x) + -2(-5) Combine like terms: -6x + 2x = -4x -8 + -4x = -2(1 + -2x) + -2(-5) -8 + -4x = (1 * -2 + -2x * -2) + -2(-5) -8 + -4x = (-2 + 4x) + -2(-5) Multiply -2 * -5 -8 + -4x = -2 + 4x + 10 Reorder the terms: -8 + -4x = -2 + 10 + 4x Combine like terms: -2 + 10 = 8 -8 + -4x = 8 + 4x Solving -8 + -4x = 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. -8 + -4x + -4x = 8 + 4x + -4x Combine like terms: -4x + -4x = -8x -8 + -8x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -8x = 8 + 0 -8 + -8x = 8 Add '8' to each side of the equation. -8 + 8 + -8x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 8 + 8 -8x = 8 + 8 Combine like terms: 8 + 8 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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