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Simplifying -4x + 7(3x + -5) = -11 + -7x Reorder the terms: -4x + 7(-5 + 3x) = -11 + -7x -4x + (-5 * 7 + 3x * 7) = -11 + -7x -4x + (-35 + 21x) = -11 + -7x Reorder the terms: -35 + -4x + 21x = -11 + -7x Combine like terms: -4x + 21x = 17x -35 + 17x = -11 + -7x Solving -35 + 17x = -11 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -35 + 17x + 7x = -11 + -7x + 7x Combine like terms: 17x + 7x = 24x -35 + 24x = -11 + -7x + 7x Combine like terms: -7x + 7x = 0 -35 + 24x = -11 + 0 -35 + 24x = -11 Add '35' to each side of the equation. -35 + 35 + 24x = -11 + 35 Combine like terms: -35 + 35 = 0 0 + 24x = -11 + 35 24x = -11 + 35 Combine like terms: -11 + 35 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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