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