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Simplifying 2(4x + -5) + 3x + -7x = 10 Reorder the terms: 2(-5 + 4x) + 3x + -7x = 10 (-5 * 2 + 4x * 2) + 3x + -7x = 10 (-10 + 8x) + 3x + -7x = 10 Combine like terms: 8x + 3x = 11x -10 + 11x + -7x = 10 Combine like terms: 11x + -7x = 4x -10 + 4x = 10 Solving -10 + 4x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 4x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 10 + 10 4x = 10 + 10 Combine like terms: 10 + 10 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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