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Simplifying 4(5x + -2) + 7 = 17x + -4 Reorder the terms: 4(-2 + 5x) + 7 = 17x + -4 (-2 * 4 + 5x * 4) + 7 = 17x + -4 (-8 + 20x) + 7 = 17x + -4 Reorder the terms: -8 + 7 + 20x = 17x + -4 Combine like terms: -8 + 7 = -1 -1 + 20x = 17x + -4 Reorder the terms: -1 + 20x = -4 + 17x Solving -1 + 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. -1 + 20x + -17x = -4 + 17x + -17x Combine like terms: 20x + -17x = 3x -1 + 3x = -4 + 17x + -17x Combine like terms: 17x + -17x = 0 -1 + 3x = -4 + 0 -1 + 3x = -4 Add '1' to each side of the equation. -1 + 1 + 3x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = -4 + 1 3x = -4 + 1 Combine like terms: -4 + 1 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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