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Simplifying 2x + -39 = 6(6x + 8) + -5x Reorder the terms: -39 + 2x = 6(6x + 8) + -5x Reorder the terms: -39 + 2x = 6(8 + 6x) + -5x -39 + 2x = (8 * 6 + 6x * 6) + -5x -39 + 2x = (48 + 36x) + -5x Combine like terms: 36x + -5x = 31x -39 + 2x = 48 + 31x Solving -39 + 2x = 48 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. -39 + 2x + -31x = 48 + 31x + -31x Combine like terms: 2x + -31x = -29x -39 + -29x = 48 + 31x + -31x Combine like terms: 31x + -31x = 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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