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Simplifying -39 + 7x = 6(6x + 8) Reorder the terms: -39 + 7x = 6(8 + 6x) -39 + 7x = (8 * 6 + 6x * 6) -39 + 7x = (48 + 36x) Solving -39 + 7x = 48 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -39 + 7x + -36x = 48 + 36x + -36x Combine like terms: 7x + -36x = -29x -39 + -29x = 48 + 36x + -36x Combine like terms: 36x + -36x = 0 -39 + -29x = 48 + 0 -39 + -29x = 48 Add '39' to each side of the equation. -39 + 39 + -29x = 48 + 39 Combine like terms: -39 + 39 = 0 0 + -29x = 48 + 39 -29x = 48 + 39 Combine like terms: 48 + 39 = 87 -29x = 87 Divide each side by '-29'. x = -3 Simplifying x = -3
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