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Simplifying -6(x + -1) + -7 = 7x + 12 Reorder the terms: -6(-1 + x) + -7 = 7x + 12 (-1 * -6 + x * -6) + -7 = 7x + 12 (6 + -6x) + -7 = 7x + 12 Reorder the terms: 6 + -7 + -6x = 7x + 12 Combine like terms: 6 + -7 = -1 -1 + -6x = 7x + 12 Reorder the terms: -1 + -6x = 12 + 7x Solving -1 + -6x = 12 + 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 = 12 + 7x + -7x Combine like terms: -6x + -7x = -13x -1 + -13x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -13x = 12 + 0 -1 + -13x = 12 Add '1' to each side of the equation. -1 + 1 + -13x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -13x = 12 + 1 -13x = 12 + 1 Combine like terms: 12 + 1 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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