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Simplifying -3(x + 2) + -1(x + -2) = x + 6 Reorder the terms: -3(2 + x) + -1(x + -2) = x + 6 (2 * -3 + x * -3) + -1(x + -2) = x + 6 (-6 + -3x) + -1(x + -2) = x + 6 Reorder the terms: -6 + -3x + -1(-2 + x) = x + 6 -6 + -3x + (-2 * -1 + x * -1) = x + 6 -6 + -3x + (2 + -1x) = x + 6 Reorder the terms: -6 + 2 + -3x + -1x = x + 6 Combine like terms: -6 + 2 = -4 -4 + -3x + -1x = x + 6 Combine like terms: -3x + -1x = -4x -4 + -4x = x + 6 Reorder the terms: -4 + -4x = 6 + x Solving -4 + -4x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + -4x + -1x = 6 + x + -1x Combine like terms: -4x + -1x = -5x -4 + -5x = 6 + x + -1x Combine like terms: x + -1x = 0 -4 + -5x = 6 + 0 -4 + -5x = 6 Add '4' to each side of the equation. -4 + 4 + -5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 6 + 4 -5x = 6 + 4 Combine like terms: 6 + 4 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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