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