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Simplifying -2(4x + 8) = 3(2x + -1) + -13 + -2x Reorder the terms: -2(8 + 4x) = 3(2x + -1) + -13 + -2x (8 * -2 + 4x * -2) = 3(2x + -1) + -13 + -2x (-16 + -8x) = 3(2x + -1) + -13 + -2x Reorder the terms: -16 + -8x = 3(-1 + 2x) + -13 + -2x -16 + -8x = (-1 * 3 + 2x * 3) + -13 + -2x -16 + -8x = (-3 + 6x) + -13 + -2x Reorder the terms: -16 + -8x = -3 + -13 + 6x + -2x Combine like terms: -3 + -13 = -16 -16 + -8x = -16 + 6x + -2x Combine like terms: 6x + -2x = 4x -16 + -8x = -16 + 4x Add '16' to each side of the equation. -16 + 16 + -8x = -16 + 16 + 4x Combine like terms: -16 + 16 = 0 0 + -8x = -16 + 16 + 4x -8x = -16 + 16 + 4x Combine like terms: -16 + 16 = 0 -8x = 0 + 4x -8x = 4x Solving -8x = 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. -8x + -4x = 4x + -4x Combine like terms: -8x + -4x = -12x -12x = 4x + -4x Combine like terms: 4x + -4x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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