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Simplifying -8(2 + 2x) + -2(-6x + -4) = -5x + 2x (2 * -8 + 2x * -8) + -2(-6x + -4) = -5x + 2x (-16 + -16x) + -2(-6x + -4) = -5x + 2x Reorder the terms: -16 + -16x + -2(-4 + -6x) = -5x + 2x -16 + -16x + (-4 * -2 + -6x * -2) = -5x + 2x -16 + -16x + (8 + 12x) = -5x + 2x Reorder the terms: -16 + 8 + -16x + 12x = -5x + 2x Combine like terms: -16 + 8 = -8 -8 + -16x + 12x = -5x + 2x Combine like terms: -16x + 12x = -4x -8 + -4x = -5x + 2x Combine like terms: -5x + 2x = -3x -8 + -4x = -3x Solving -8 + -4x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + -4x + 3x = -3x + 3x Combine like terms: -4x + 3x = -1x -8 + -1x = -3x + 3x Combine like terms: -3x + 3x = 0 -8 + -1x = 0 Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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