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Simplifying 4(5x + -2) + 16 = 17x + -4 Reorder the terms: 4(-2 + 5x) + 16 = 17x + -4 (-2 * 4 + 5x * 4) + 16 = 17x + -4 (-8 + 20x) + 16 = 17x + -4 Reorder the terms: -8 + 16 + 20x = 17x + -4 Combine like terms: -8 + 16 = 8 8 + 20x = 17x + -4 Reorder the terms: 8 + 20x = -4 + 17x Solving 8 + 20x = -4 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 8 + 20x + -17x = -4 + 17x + -17x Combine like terms: 20x + -17x = 3x 8 + 3x = -4 + 17x + -17x Combine like terms: 17x + -17x = 0 8 + 3x = -4 + 0 8 + 3x = -4 Add '-8' to each side of the equation. 8 + -8 + 3x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -4 + -8 3x = -4 + -8 Combine like terms: -4 + -8 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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