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Simplifying 4x + 5(x + -1) = 4 + -1(3 + -7x) Reorder the terms: 4x + 5(-1 + x) = 4 + -1(3 + -7x) 4x + (-1 * 5 + x * 5) = 4 + -1(3 + -7x) 4x + (-5 + 5x) = 4 + -1(3 + -7x) Reorder the terms: -5 + 4x + 5x = 4 + -1(3 + -7x) Combine like terms: 4x + 5x = 9x -5 + 9x = 4 + -1(3 + -7x) -5 + 9x = 4 + (3 * -1 + -7x * -1) -5 + 9x = 4 + (-3 + 7x) Combine like terms: 4 + -3 = 1 -5 + 9x = 1 + 7x Solving -5 + 9x = 1 + 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. -5 + 9x + -7x = 1 + 7x + -7x Combine like terms: 9x + -7x = 2x -5 + 2x = 1 + 7x + -7x Combine like terms: 7x + -7x = 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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