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Simplifying -6(x + -1) + -7 = -7x + 5 Reorder the terms: -6(-1 + x) + -7 = -7x + 5 (-1 * -6 + x * -6) + -7 = -7x + 5 (6 + -6x) + -7 = -7x + 5 Reorder the terms: 6 + -7 + -6x = -7x + 5 Combine like terms: 6 + -7 = -1 -1 + -6x = -7x + 5 Reorder the terms: -1 + -6x = 5 + -7x Solving -1 + -6x = 5 + -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. -1 + -6x + 7x = 5 + -7x + 7x Combine like terms: -6x + 7x = 1x -1 + 1x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 -1 + 1x = 5 + 0 -1 + 1x = 5 Add '1' to each side of the equation. -1 + 1 + 1x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 5 + 1 1x = 5 + 1 Combine like terms: 5 + 1 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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