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Simplifying -18 = -6x + 6(3x + -13) Reorder the terms: -18 = -6x + 6(-13 + 3x) -18 = -6x + (-13 * 6 + 3x * 6) -18 = -6x + (-78 + 18x) Reorder the terms: -18 = -78 + -6x + 18x Combine like terms: -6x + 18x = 12x -18 = -78 + 12x Solving -18 = -78 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + -12x = -78 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -12x = -78 + 0 -18 + -12x = -78 Add '18' to each side of the equation. -18 + 18 + -12x = -78 + 18 Combine like terms: -18 + 18 = 0 0 + -12x = -78 + 18 -12x = -78 + 18 Combine like terms: -78 + 18 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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