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Simplifying -5(x + -6) = -7(x + 2) + -2x Reorder the terms: -5(-6 + x) = -7(x + 2) + -2x (-6 * -5 + x * -5) = -7(x + 2) + -2x (30 + -5x) = -7(x + 2) + -2x Reorder the terms: 30 + -5x = -7(2 + x) + -2x 30 + -5x = (2 * -7 + x * -7) + -2x 30 + -5x = (-14 + -7x) + -2x Combine like terms: -7x + -2x = -9x 30 + -5x = -14 + -9x Solving 30 + -5x = -14 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 30 + -5x + 9x = -14 + -9x + 9x Combine like terms: -5x + 9x = 4x 30 + 4x = -14 + -9x + 9x Combine like terms: -9x + 9x = 0 30 + 4x = -14 + 0 30 + 4x = -14 Add '-30' to each side of the equation. 30 + -30 + 4x = -14 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = -14 + -30 4x = -14 + -30 Combine like terms: -14 + -30 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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