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Simplifying -2x + -2(1 + 4x) = -4x + 2(2 + -6x) -2x + (1 * -2 + 4x * -2) = -4x + 2(2 + -6x) -2x + (-2 + -8x) = -4x + 2(2 + -6x) Reorder the terms: -2 + -2x + -8x = -4x + 2(2 + -6x) Combine like terms: -2x + -8x = -10x -2 + -10x = -4x + 2(2 + -6x) -2 + -10x = -4x + (2 * 2 + -6x * 2) -2 + -10x = -4x + (4 + -12x) Reorder the terms: -2 + -10x = 4 + -4x + -12x Combine like terms: -4x + -12x = -16x -2 + -10x = 4 + -16x Solving -2 + -10x = 4 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -2 + -10x + 16x = 4 + -16x + 16x Combine like terms: -10x + 16x = 6x -2 + 6x = 4 + -16x + 16x Combine like terms: -16x + 16x = 0 -2 + 6x = 4 + 0 -2 + 6x = 4 Add '2' to each side of the equation. -2 + 2 + 6x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 4 + 2 6x = 4 + 2 Combine like terms: 4 + 2 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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