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Simplifying 6x + -39 = -1 + -5(2 + -2x) Reorder the terms: -39 + 6x = -1 + -5(2 + -2x) -39 + 6x = -1 + (2 * -5 + -2x * -5) -39 + 6x = -1 + (-10 + 10x) Combine like terms: -1 + -10 = -11 -39 + 6x = -11 + 10x Solving -39 + 6x = -11 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -39 + 6x + -10x = -11 + 10x + -10x Combine like terms: 6x + -10x = -4x -39 + -4x = -11 + 10x + -10x Combine like terms: 10x + -10x = 0 -39 + -4x = -11 + 0 -39 + -4x = -11 Add '39' to each side of the equation. -39 + 39 + -4x = -11 + 39 Combine like terms: -39 + 39 = 0 0 + -4x = -11 + 39 -4x = -11 + 39 Combine like terms: -11 + 39 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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