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Simplifying 4x + -1(7x + 8) = -5x + 2 Reorder the terms: 4x + -1(8 + 7x) = -5x + 2 4x + (8 * -1 + 7x * -1) = -5x + 2 4x + (-8 + -7x) = -5x + 2 Reorder the terms: -8 + 4x + -7x = -5x + 2 Combine like terms: 4x + -7x = -3x -8 + -3x = -5x + 2 Reorder the terms: -8 + -3x = 2 + -5x Solving -8 + -3x = 2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + -3x + 5x = 2 + -5x + 5x Combine like terms: -3x + 5x = 2x -8 + 2x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 2x = 2 + 0 -8 + 2x = 2 Add '8' to each side of the equation. -8 + 8 + 2x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 2 + 8 2x = 2 + 8 Combine like terms: 2 + 8 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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