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Simplifying -7(2x + -6) + 5(3x + -1) + -6 = 5 + -6 Reorder the terms: -7(-6 + 2x) + 5(3x + -1) + -6 = 5 + -6 (-6 * -7 + 2x * -7) + 5(3x + -1) + -6 = 5 + -6 (42 + -14x) + 5(3x + -1) + -6 = 5 + -6 Reorder the terms: 42 + -14x + 5(-1 + 3x) + -6 = 5 + -6 42 + -14x + (-1 * 5 + 3x * 5) + -6 = 5 + -6 42 + -14x + (-5 + 15x) + -6 = 5 + -6 Reorder the terms: 42 + -5 + -6 + -14x + 15x = 5 + -6 Combine like terms: 42 + -5 = 37 37 + -6 + -14x + 15x = 5 + -6 Combine like terms: 37 + -6 = 31 31 + -14x + 15x = 5 + -6 Combine like terms: -14x + 15x = 1x 31 + 1x = 5 + -6 Combine like terms: 5 + -6 = -1 31 + 1x = -1 Solving 31 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 1x = -1 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = -1 + -31 1x = -1 + -31 Combine like terms: -1 + -31 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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