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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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