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Simplifying -2x + 7(-5x + -12) = 101 Reorder the terms: -2x + 7(-12 + -5x) = 101 -2x + (-12 * 7 + -5x * 7) = 101 -2x + (-84 + -35x) = 101 Reorder the terms: -84 + -2x + -35x = 101 Combine like terms: -2x + -35x = -37x -84 + -37x = 101 Solving -84 + -37x = 101 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -37x = 101 + 84 Combine like terms: -84 + 84 = 0 0 + -37x = 101 + 84 -37x = 101 + 84 Combine like terms: 101 + 84 = 185 -37x = 185 Divide each side by '-37'. x = -5 Simplifying x = -5
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