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Simplifying 39 + -2x = -6(-2x + 4) + -5x Reorder the terms: 39 + -2x = -6(4 + -2x) + -5x 39 + -2x = (4 * -6 + -2x * -6) + -5x 39 + -2x = (-24 + 12x) + -5x Combine like terms: 12x + -5x = 7x 39 + -2x = -24 + 7x Solving 39 + -2x = -24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 39 + -2x + -7x = -24 + 7x + -7x Combine like terms: -2x + -7x = -9x 39 + -9x = -24 + 7x + -7x Combine like terms: 7x + -7x = 0 39 + -9x = -24 + 0 39 + -9x = -24 Add '-39' to each side of the equation. 39 + -39 + -9x = -24 + -39 Combine like terms: 39 + -39 = 0 0 + -9x = -24 + -39 -9x = -24 + -39 Combine like terms: -24 + -39 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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