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Simplifying 4(-3x + -4) + 8 = 11x + 4(5 + -4x) Reorder the terms: 4(-4 + -3x) + 8 = 11x + 4(5 + -4x) (-4 * 4 + -3x * 4) + 8 = 11x + 4(5 + -4x) (-16 + -12x) + 8 = 11x + 4(5 + -4x) Reorder the terms: -16 + 8 + -12x = 11x + 4(5 + -4x) Combine like terms: -16 + 8 = -8 -8 + -12x = 11x + 4(5 + -4x) -8 + -12x = 11x + (5 * 4 + -4x * 4) -8 + -12x = 11x + (20 + -16x) Reorder the terms: -8 + -12x = 20 + 11x + -16x Combine like terms: 11x + -16x = -5x -8 + -12x = 20 + -5x Solving -8 + -12x = 20 + -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. -8 + -12x + 5x = 20 + -5x + 5x Combine like terms: -12x + 5x = -7x -8 + -7x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + -7x = 20 + 0 -8 + -7x = 20 Add '8' to each side of the equation. -8 + 8 + -7x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 20 + 8 -7x = 20 + 8 Combine like terms: 20 + 8 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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