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Simplifying 2(2x + -12) = -1(5x + 6) Reorder the terms: 2(-12 + 2x) = -1(5x + 6) (-12 * 2 + 2x * 2) = -1(5x + 6) (-24 + 4x) = -1(5x + 6) Reorder the terms: -24 + 4x = -1(6 + 5x) -24 + 4x = (6 * -1 + 5x * -1) -24 + 4x = (-6 + -5x) Solving -24 + 4x = -6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -24 + 4x + 5x = -6 + -5x + 5x Combine like terms: 4x + 5x = 9x -24 + 9x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + 9x = -6 + 0 -24 + 9x = -6 Add '24' to each side of the equation. -24 + 24 + 9x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = -6 + 24 9x = -6 + 24 Combine like terms: -6 + 24 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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