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Simplifying 2x + 4(2x + -4) = 4(x + -1) + -6x Reorder the terms: 2x + 4(-4 + 2x) = 4(x + -1) + -6x 2x + (-4 * 4 + 2x * 4) = 4(x + -1) + -6x 2x + (-16 + 8x) = 4(x + -1) + -6x Reorder the terms: -16 + 2x + 8x = 4(x + -1) + -6x Combine like terms: 2x + 8x = 10x -16 + 10x = 4(x + -1) + -6x Reorder the terms: -16 + 10x = 4(-1 + x) + -6x -16 + 10x = (-1 * 4 + x * 4) + -6x -16 + 10x = (-4 + 4x) + -6x Combine like terms: 4x + -6x = -2x -16 + 10x = -4 + -2x Solving -16 + 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. -16 + 10x + 2x = -4 + -2x + 2x Combine like terms: 10x + 2x = 12x -16 + 12x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 12x = -4 + 0 -16 + 12x = -4 Add '16' to each side of the equation. -16 + 16 + 12x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = -4 + 16 12x = -4 + 16 Combine like terms: -4 + 16 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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