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Simplifying 4(5x + -2) + -12 = 17x + -2 Reorder the terms: 4(-2 + 5x) + -12 = 17x + -2 (-2 * 4 + 5x * 4) + -12 = 17x + -2 (-8 + 20x) + -12 = 17x + -2 Reorder the terms: -8 + -12 + 20x = 17x + -2 Combine like terms: -8 + -12 = -20 -20 + 20x = 17x + -2 Reorder the terms: -20 + 20x = -2 + 17x Solving -20 + 20x = -2 + 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. -20 + 20x + -17x = -2 + 17x + -17x Combine like terms: 20x + -17x = 3x -20 + 3x = -2 + 17x + -17x Combine like terms: 17x + -17x = 0 -20 + 3x = -2 + 0 -20 + 3x = -2 Add '20' to each side of the equation. -20 + 20 + 3x = -2 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = -2 + 20 3x = -2 + 20 Combine like terms: -2 + 20 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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