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Simplifying -138 = -6x + 2(-5x + -5) Reorder the terms: -138 = -6x + 2(-5 + -5x) -138 = -6x + (-5 * 2 + -5x * 2) -138 = -6x + (-10 + -10x) Reorder the terms: -138 = -10 + -6x + -10x Combine like terms: -6x + -10x = -16x -138 = -10 + -16x Solving -138 = -10 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -138 + 16x = -10 + -16x + 16x Combine like terms: -16x + 16x = 0 -138 + 16x = -10 + 0 -138 + 16x = -10 Add '138' to each side of the equation. -138 + 138 + 16x = -10 + 138 Combine like terms: -138 + 138 = 0 0 + 16x = -10 + 138 16x = -10 + 138 Combine like terms: -10 + 138 = 128 16x = 128 Divide each side by '16'. x = 8 Simplifying x = 8
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