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Simplifying 4(5x + -7) + 2 = 3x + -9 Reorder the terms: 4(-7 + 5x) + 2 = 3x + -9 (-7 * 4 + 5x * 4) + 2 = 3x + -9 (-28 + 20x) + 2 = 3x + -9 Reorder the terms: -28 + 2 + 20x = 3x + -9 Combine like terms: -28 + 2 = -26 -26 + 20x = 3x + -9 Reorder the terms: -26 + 20x = -9 + 3x Solving -26 + 20x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -26 + 20x + -3x = -9 + 3x + -3x Combine like terms: 20x + -3x = 17x -26 + 17x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -26 + 17x = -9 + 0 -26 + 17x = -9 Add '26' to each side of the equation. -26 + 26 + 17x = -9 + 26 Combine like terms: -26 + 26 = 0 0 + 17x = -9 + 26 17x = -9 + 26 Combine like terms: -9 + 26 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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