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Simplifying 5 + 3(x + 4) = 7x + -1(9 + -10x) + 4 Reorder the terms: 5 + 3(4 + x) = 7x + -1(9 + -10x) + 4 5 + (4 * 3 + x * 3) = 7x + -1(9 + -10x) + 4 5 + (12 + 3x) = 7x + -1(9 + -10x) + 4 Combine like terms: 5 + 12 = 17 17 + 3x = 7x + -1(9 + -10x) + 4 17 + 3x = 7x + (9 * -1 + -10x * -1) + 4 17 + 3x = 7x + (-9 + 10x) + 4 Reorder the terms: 17 + 3x = -9 + 4 + 7x + 10x Combine like terms: -9 + 4 = -5 17 + 3x = -5 + 7x + 10x Combine like terms: 7x + 10x = 17x 17 + 3x = -5 + 17x Solving 17 + 3x = -5 + 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. 17 + 3x + -17x = -5 + 17x + -17x Combine like terms: 3x + -17x = -14x 17 + -14x = -5 + 17x + -17x Combine like terms: 17x + -17x = 0 17 + -14x = -5 + 0 17 + -14x = -5 Add '-17' to each side of the equation. 17 + -17 + -14x = -5 + -17 Combine like terms: 17 + -17 = 0 0 + -14x = -5 + -17 -14x = -5 + -17 Combine like terms: -5 + -17 = -22 -14x = -22 Divide each side by '-14'. x = 1.571428571 Simplifying x = 1.571428571
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