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Simplifying -1x + 2(-3x + -1) = 2x + 7 Reorder the terms: -1x + 2(-1 + -3x) = 2x + 7 -1x + (-1 * 2 + -3x * 2) = 2x + 7 -1x + (-2 + -6x) = 2x + 7 Reorder the terms: -2 + -1x + -6x = 2x + 7 Combine like terms: -1x + -6x = -7x -2 + -7x = 2x + 7 Reorder the terms: -2 + -7x = 7 + 2x Solving -2 + -7x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + -7x + -2x = 7 + 2x + -2x Combine like terms: -7x + -2x = -9x -2 + -9x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -9x = 7 + 0 -2 + -9x = 7 Add '2' to each side of the equation. -2 + 2 + -9x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 7 + 2 -9x = 7 + 2 Combine like terms: 7 + 2 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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