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Simplifying 4x + -39 = 3(1 + -1x) Reorder the terms: -39 + 4x = 3(1 + -1x) -39 + 4x = (1 * 3 + -1x * 3) -39 + 4x = (3 + -3x) Solving -39 + 4x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -39 + 4x + 3x = 3 + -3x + 3x Combine like terms: 4x + 3x = 7x -39 + 7x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 -39 + 7x = 3 + 0 -39 + 7x = 3 Add '39' to each side of the equation. -39 + 39 + 7x = 3 + 39 Combine like terms: -39 + 39 = 0 0 + 7x = 3 + 39 7x = 3 + 39 Combine like terms: 3 + 39 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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