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Simplifying -18 = 7x + 6(-2x + -13) Reorder the terms: -18 = 7x + 6(-13 + -2x) -18 = 7x + (-13 * 6 + -2x * 6) -18 = 7x + (-78 + -12x) Reorder the terms: -18 = -78 + 7x + -12x Combine like terms: 7x + -12x = -5x -18 = -78 + -5x Solving -18 = -78 + -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. -18 + 5x = -78 + -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 5x = -78 + 0 -18 + 5x = -78 Add '18' to each side of the equation. -18 + 18 + 5x = -78 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = -78 + 18 5x = -78 + 18 Combine like terms: -78 + 18 = -60 5x = -60 Divide each side by '5'. x = -12 Simplifying x = -12
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