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Simplifying 4(-2x + -4) + 4 = -38 + 5x Reorder the terms: 4(-4 + -2x) + 4 = -38 + 5x (-4 * 4 + -2x * 4) + 4 = -38 + 5x (-16 + -8x) + 4 = -38 + 5x Reorder the terms: -16 + 4 + -8x = -38 + 5x Combine like terms: -16 + 4 = -12 -12 + -8x = -38 + 5x Solving -12 + -8x = -38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + -8x + -5x = -38 + 5x + -5x Combine like terms: -8x + -5x = -13x -12 + -13x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -13x = -38 + 0 -12 + -13x = -38 Add '12' to each side of the equation. -12 + 12 + -13x = -38 + 12 Combine like terms: -12 + 12 = 0 0 + -13x = -38 + 12 -13x = -38 + 12 Combine like terms: -38 + 12 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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