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Simplifying -2x + -7x = -1(2x + -1) + 6(x + 2) Combine like terms: -2x + -7x = -9x -9x = -1(2x + -1) + 6(x + 2) Reorder the terms: -9x = -1(-1 + 2x) + 6(x + 2) -9x = (-1 * -1 + 2x * -1) + 6(x + 2) -9x = (1 + -2x) + 6(x + 2) Reorder the terms: -9x = 1 + -2x + 6(2 + x) -9x = 1 + -2x + (2 * 6 + x * 6) -9x = 1 + -2x + (12 + 6x) Reorder the terms: -9x = 1 + 12 + -2x + 6x Combine like terms: 1 + 12 = 13 -9x = 13 + -2x + 6x Combine like terms: -2x + 6x = 4x -9x = 13 + 4x Solving -9x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9x + -4x = 13 + 4x + -4x Combine like terms: -9x + -4x = -13x -13x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -13x = 13 + 0 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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