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Simplifying -2(2x + 5) = -3(2x + -6) Reorder the terms: -2(5 + 2x) = -3(2x + -6) (5 * -2 + 2x * -2) = -3(2x + -6) (-10 + -4x) = -3(2x + -6) Reorder the terms: -10 + -4x = -3(-6 + 2x) -10 + -4x = (-6 * -3 + 2x * -3) -10 + -4x = (18 + -6x) Solving -10 + -4x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + -4x + 6x = 18 + -6x + 6x Combine like terms: -4x + 6x = 2x -10 + 2x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 2x = 18 + 0 -10 + 2x = 18 Add '10' to each side of the equation. -10 + 10 + 2x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 18 + 10 2x = 18 + 10 Combine like terms: 18 + 10 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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