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Simplifying -5x + -7(x + -6) = 138 Reorder the terms: -5x + -7(-6 + x) = 138 -5x + (-6 * -7 + x * -7) = 138 -5x + (42 + -7x) = 138 Reorder the terms: 42 + -5x + -7x = 138 Combine like terms: -5x + -7x = -12x 42 + -12x = 138 Solving 42 + -12x = 138 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -12x = 138 + -42 Combine like terms: 42 + -42 = 0 0 + -12x = 138 + -42 -12x = 138 + -42 Combine like terms: 138 + -42 = 96 -12x = 96 Divide each side by '-12'. x = -8 Simplifying x = -8
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