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Simplifying 7x + -39 = 2x + 3(3x + -5) Reorder the terms: -39 + 7x = 2x + 3(3x + -5) Reorder the terms: -39 + 7x = 2x + 3(-5 + 3x) -39 + 7x = 2x + (-5 * 3 + 3x * 3) -39 + 7x = 2x + (-15 + 9x) Reorder the terms: -39 + 7x = -15 + 2x + 9x Combine like terms: 2x + 9x = 11x -39 + 7x = -15 + 11x Solving -39 + 7x = -15 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -39 + 7x + -11x = -15 + 11x + -11x Combine like terms: 7x + -11x = -4x -39 + -4x = -15 + 11x + -11x Combine like terms: 11x + -11x = 0 -39 + -4x = -15 + 0 -39 + -4x = -15 Add '39' to each side of the equation. -39 + 39 + -4x = -15 + 39 Combine like terms: -39 + 39 = 0 0 + -4x = -15 + 39 -4x = -15 + 39 Combine like terms: -15 + 39 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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