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Simplifying -2x + -6 = 2 + -4x + -1(x + -7) Reorder the terms: -6 + -2x = 2 + -4x + -1(x + -7) Reorder the terms: -6 + -2x = 2 + -4x + -1(-7 + x) -6 + -2x = 2 + -4x + (-7 * -1 + x * -1) -6 + -2x = 2 + -4x + (7 + -1x) Reorder the terms: -6 + -2x = 2 + 7 + -4x + -1x Combine like terms: 2 + 7 = 9 -6 + -2x = 9 + -4x + -1x Combine like terms: -4x + -1x = -5x -6 + -2x = 9 + -5x Solving -6 + -2x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -2x + 5x = 9 + -5x + 5x Combine like terms: -2x + 5x = 3x -6 + 3x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 3x = 9 + 0 -6 + 3x = 9 Add '6' to each side of the equation. -6 + 6 + 3x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 9 + 6 3x = 9 + 6 Combine like terms: 9 + 6 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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