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Simplifying 39 = -6x + -1(1 + 4x) 39 = -6x + (1 * -1 + 4x * -1) 39 = -6x + (-1 + -4x) Reorder the terms: 39 = -1 + -6x + -4x Combine like terms: -6x + -4x = -10x 39 = -1 + -10x Solving 39 = -1 + -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 + 10x = -1 + -10x + 10x Combine like terms: -10x + 10x = 0 39 + 10x = -1 + 0 39 + 10x = -1 Add '-39' to each side of the equation. 39 + -39 + 10x = -1 + -39 Combine like terms: 39 + -39 = 0 0 + 10x = -1 + -39 10x = -1 + -39 Combine like terms: -1 + -39 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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