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Simplifying -39 + 7x = 4x + -6(x + 8) Reorder the terms: -39 + 7x = 4x + -6(8 + x) -39 + 7x = 4x + (8 * -6 + x * -6) -39 + 7x = 4x + (-48 + -6x) Reorder the terms: -39 + 7x = -48 + 4x + -6x Combine like terms: 4x + -6x = -2x -39 + 7x = -48 + -2x Solving -39 + 7x = -48 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -39 + 7x + 2x = -48 + -2x + 2x Combine like terms: 7x + 2x = 9x -39 + 9x = -48 + -2x + 2x Combine like terms: -2x + 2x = 0 -39 + 9x = -48 + 0 -39 + 9x = -48 Add '39' to each side of the equation. -39 + 39 + 9x = -48 + 39 Combine like terms: -39 + 39 = 0 0 + 9x = -48 + 39 9x = -48 + 39 Combine like terms: -48 + 39 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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