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Simplifying -7x + 4 + -1(-5x + 9) = -4x + 1 Reorder the terms: -7x + 4 + -1(9 + -5x) = -4x + 1 -7x + 4 + (9 * -1 + -5x * -1) = -4x + 1 -7x + 4 + (-9 + 5x) = -4x + 1 Reorder the terms: 4 + -9 + -7x + 5x = -4x + 1 Combine like terms: 4 + -9 = -5 -5 + -7x + 5x = -4x + 1 Combine like terms: -7x + 5x = -2x -5 + -2x = -4x + 1 Reorder the terms: -5 + -2x = 1 + -4x Solving -5 + -2x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -5 + -2x + 4x = 1 + -4x + 4x Combine like terms: -2x + 4x = 2x -5 + 2x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 2x = 1 + 0 -5 + 2x = 1 Add '5' to each side of the equation. -5 + 5 + 2x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 1 + 5 2x = 1 + 5 Combine like terms: 1 + 5 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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