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Simplifying -3x + -1(7 + -2x) = 6 + -2(1 + -2x) -3x + (7 * -1 + -2x * -1) = 6 + -2(1 + -2x) -3x + (-7 + 2x) = 6 + -2(1 + -2x) Reorder the terms: -7 + -3x + 2x = 6 + -2(1 + -2x) Combine like terms: -3x + 2x = -1x -7 + -1x = 6 + -2(1 + -2x) -7 + -1x = 6 + (1 * -2 + -2x * -2) -7 + -1x = 6 + (-2 + 4x) Combine like terms: 6 + -2 = 4 -7 + -1x = 4 + 4x Solving -7 + -1x = 4 + 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. -7 + -1x + -4x = 4 + 4x + -4x Combine like terms: -1x + -4x = -5x -7 + -5x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -5x = 4 + 0 -7 + -5x = 4 Add '7' to each side of the equation. -7 + 7 + -5x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 4 + 7 -5x = 4 + 7 Combine like terms: 4 + 7 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2
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