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Simplifying 9 + -2(5x + -4) + 3x = 3x + -5(2 + -7x) Reorder the terms: 9 + -2(-4 + 5x) + 3x = 3x + -5(2 + -7x) 9 + (-4 * -2 + 5x * -2) + 3x = 3x + -5(2 + -7x) 9 + (8 + -10x) + 3x = 3x + -5(2 + -7x) Combine like terms: 9 + 8 = 17 17 + -10x + 3x = 3x + -5(2 + -7x) Combine like terms: -10x + 3x = -7x 17 + -7x = 3x + -5(2 + -7x) 17 + -7x = 3x + (2 * -5 + -7x * -5) 17 + -7x = 3x + (-10 + 35x) Reorder the terms: 17 + -7x = -10 + 3x + 35x Combine like terms: 3x + 35x = 38x 17 + -7x = -10 + 38x Solving 17 + -7x = -10 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 17 + -7x + -38x = -10 + 38x + -38x Combine like terms: -7x + -38x = -45x 17 + -45x = -10 + 38x + -38x Combine like terms: 38x + -38x = 0 17 + -45x = -10 + 0 17 + -45x = -10 Add '-17' to each side of the equation. 17 + -17 + -45x = -10 + -17 Combine like terms: 17 + -17 = 0 0 + -45x = -10 + -17 -45x = -10 + -17 Combine like terms: -10 + -17 = -27 -45x = -27 Divide each side by '-45'. x = 0.6 Simplifying x = 0.6
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