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Simplifying -138 = -5x + -6(-3x + 10) Reorder the terms: -138 = -5x + -6(10 + -3x) -138 = -5x + (10 * -6 + -3x * -6) -138 = -5x + (-60 + 18x) Reorder the terms: -138 = -60 + -5x + 18x Combine like terms: -5x + 18x = 13x -138 = -60 + 13x Solving -138 = -60 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -138 + -13x = -60 + 13x + -13x Combine like terms: 13x + -13x = 0 -138 + -13x = -60 + 0 -138 + -13x = -60 Add '138' to each side of the equation. -138 + 138 + -13x = -60 + 138 Combine like terms: -138 + 138 = 0 0 + -13x = -60 + 138 -13x = -60 + 138 Combine like terms: -60 + 138 = 78 -13x = 78 Divide each side by '-13'. x = -6 Simplifying x = -6
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