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Simplifying -5x + 2(-3x + -7) = -18 + -7x Reorder the terms: -5x + 2(-7 + -3x) = -18 + -7x -5x + (-7 * 2 + -3x * 2) = -18 + -7x -5x + (-14 + -6x) = -18 + -7x Reorder the terms: -14 + -5x + -6x = -18 + -7x Combine like terms: -5x + -6x = -11x -14 + -11x = -18 + -7x Solving -14 + -11x = -18 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -14 + -11x + 7x = -18 + -7x + 7x Combine like terms: -11x + 7x = -4x -14 + -4x = -18 + -7x + 7x Combine like terms: -7x + 7x = 0 -14 + -4x = -18 + 0 -14 + -4x = -18 Add '14' to each side of the equation. -14 + 14 + -4x = -18 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = -18 + 14 -4x = -18 + 14 Combine like terms: -18 + 14 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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