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Simplifying 4(5x + -4) + 8 = 16x + -4 Reorder the terms: 4(-4 + 5x) + 8 = 16x + -4 (-4 * 4 + 5x * 4) + 8 = 16x + -4 (-16 + 20x) + 8 = 16x + -4 Reorder the terms: -16 + 8 + 20x = 16x + -4 Combine like terms: -16 + 8 = -8 -8 + 20x = 16x + -4 Reorder the terms: -8 + 20x = -4 + 16x Solving -8 + 20x = -4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -8 + 20x + -16x = -4 + 16x + -16x Combine like terms: 20x + -16x = 4x -8 + 4x = -4 + 16x + -16x Combine like terms: 16x + -16x = 0 -8 + 4x = -4 + 0 -8 + 4x = -4 Add '8' to each side of the equation. -8 + 8 + 4x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -4 + 8 4x = -4 + 8 Combine like terms: -4 + 8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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