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Simplifying 2(-3x + -5) + 2(4x + 7) = (-6) Reorder the terms: 2(-5 + -3x) + 2(4x + 7) = (-6) (-5 * 2 + -3x * 2) + 2(4x + 7) = (-6) (-10 + -6x) + 2(4x + 7) = (-6) Reorder the terms: -10 + -6x + 2(7 + 4x) = (-6) -10 + -6x + (7 * 2 + 4x * 2) = (-6) -10 + -6x + (14 + 8x) = (-6) Reorder the terms: -10 + 14 + -6x + 8x = (-6) Combine like terms: -10 + 14 = 4 4 + -6x + 8x = (-6) Combine like terms: -6x + 8x = 2x 4 + 2x = (-6) 4 + 2x = -6 Solving 4 + 2x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -6 + -4 2x = -6 + -4 Combine like terms: -6 + -4 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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