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Simplifying 126 = 5x + -6(2x + -7) Reorder the terms: 126 = 5x + -6(-7 + 2x) 126 = 5x + (-7 * -6 + 2x * -6) 126 = 5x + (42 + -12x) Reorder the terms: 126 = 42 + 5x + -12x Combine like terms: 5x + -12x = -7x 126 = 42 + -7x Solving 126 = 42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 126 + 7x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 126 + 7x = 42 + 0 126 + 7x = 42 Add '-126' to each side of the equation. 126 + -126 + 7x = 42 + -126 Combine like terms: 126 + -126 = 0 0 + 7x = 42 + -126 7x = 42 + -126 Combine like terms: 42 + -126 = -84 7x = -84 Divide each side by '7'. x = -12 Simplifying x = -12
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