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Simplifying -122 = -7x + 2(-2x + 5) Reorder the terms: -122 = -7x + 2(5 + -2x) -122 = -7x + (5 * 2 + -2x * 2) -122 = -7x + (10 + -4x) Reorder the terms: -122 = 10 + -7x + -4x Combine like terms: -7x + -4x = -11x -122 = 10 + -11x Solving -122 = 10 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -122 + 11x = 10 + -11x + 11x Combine like terms: -11x + 11x = 0 -122 + 11x = 10 + 0 -122 + 11x = 10 Add '122' to each side of the equation. -122 + 122 + 11x = 10 + 122 Combine like terms: -122 + 122 = 0 0 + 11x = 10 + 122 11x = 10 + 122 Combine like terms: 10 + 122 = 132 11x = 132 Divide each side by '11'. x = 12 Simplifying x = 12
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