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Simplifying -3x + -2(x + 6) = -2(2x + 7) Reorder the terms: -3x + -2(6 + x) = -2(2x + 7) -3x + (6 * -2 + x * -2) = -2(2x + 7) -3x + (-12 + -2x) = -2(2x + 7) Reorder the terms: -12 + -3x + -2x = -2(2x + 7) Combine like terms: -3x + -2x = -5x -12 + -5x = -2(2x + 7) Reorder the terms: -12 + -5x = -2(7 + 2x) -12 + -5x = (7 * -2 + 2x * -2) -12 + -5x = (-14 + -4x) Solving -12 + -5x = -14 + -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. -12 + -5x + 4x = -14 + -4x + 4x Combine like terms: -5x + 4x = -1x -12 + -1x = -14 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + -1x = -14 + 0 -12 + -1x = -14 Add '12' to each side of the equation. -12 + 12 + -1x = -14 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -14 + 12 -1x = -14 + 12 Combine like terms: -14 + 12 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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