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Simplifying -5(2 + 4x) + 7(5x + -2) = 3x + 9x (2 * -5 + 4x * -5) + 7(5x + -2) = 3x + 9x (-10 + -20x) + 7(5x + -2) = 3x + 9x Reorder the terms: -10 + -20x + 7(-2 + 5x) = 3x + 9x -10 + -20x + (-2 * 7 + 5x * 7) = 3x + 9x -10 + -20x + (-14 + 35x) = 3x + 9x Reorder the terms: -10 + -14 + -20x + 35x = 3x + 9x Combine like terms: -10 + -14 = -24 -24 + -20x + 35x = 3x + 9x Combine like terms: -20x + 35x = 15x -24 + 15x = 3x + 9x Combine like terms: 3x + 9x = 12x -24 + 15x = 12x Solving -24 + 15x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -24 + 15x + -12x = 12x + -12x Combine like terms: 15x + -12x = 3x -24 + 3x = 12x + -12x Combine like terms: 12x + -12x = 0 -24 + 3x = 0 Add '24' to each side of the equation. -24 + 24 + 3x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = 0 + 24 3x = 0 + 24 Combine like terms: 0 + 24 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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