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Simplifying 2(7x + -5) = 4(2 + 3x) + -9x Reorder the terms: 2(-5 + 7x) = 4(2 + 3x) + -9x (-5 * 2 + 7x * 2) = 4(2 + 3x) + -9x (-10 + 14x) = 4(2 + 3x) + -9x -10 + 14x = (2 * 4 + 3x * 4) + -9x -10 + 14x = (8 + 12x) + -9x Combine like terms: 12x + -9x = 3x -10 + 14x = 8 + 3x Solving -10 + 14x = 8 + 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. -10 + 14x + -3x = 8 + 3x + -3x Combine like terms: 14x + -3x = 11x -10 + 11x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 11x = 8 + 0 -10 + 11x = 8 Add '10' to each side of the equation. -10 + 10 + 11x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 8 + 10 11x = 8 + 10 Combine like terms: 8 + 10 = 18 11x = 18 Divide each side by '11'. x = 1.636363636 Simplifying x = 1.636363636
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