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Simplifying 7(x + -1) = -6x + -46 Reorder the terms: 7(-1 + x) = -6x + -46 (-1 * 7 + x * 7) = -6x + -46 (-7 + 7x) = -6x + -46 Reorder the terms: -7 + 7x = -46 + -6x Solving -7 + 7x = -46 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + 7x + 6x = -46 + -6x + 6x Combine like terms: 7x + 6x = 13x -7 + 13x = -46 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 13x = -46 + 0 -7 + 13x = -46 Add '7' to each side of the equation. -7 + 7 + 13x = -46 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = -46 + 7 13x = -46 + 7 Combine like terms: -46 + 7 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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