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Simplifying 5(2x + -7) + 2(-3 + -4x) = 50 Reorder the terms: 5(-7 + 2x) + 2(-3 + -4x) = 50 (-7 * 5 + 2x * 5) + 2(-3 + -4x) = 50 (-35 + 10x) + 2(-3 + -4x) = 50 -35 + 10x + (-3 * 2 + -4x * 2) = 50 -35 + 10x + (-6 + -8x) = 50 Reorder the terms: -35 + -6 + 10x + -8x = 50 Combine like terms: -35 + -6 = -41 -41 + 10x + -8x = 50 Combine like terms: 10x + -8x = 2x -41 + 2x = 50 Solving -41 + 2x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 2x = 50 + 41 Combine like terms: -41 + 41 = 0 0 + 2x = 50 + 41 2x = 50 + 41 Combine like terms: 50 + 41 = 91 2x = 91 Divide each side by '2'. x = 45.5 Simplifying x = 45.5
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