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Simplifying -122 = 3x + -7(3x + 2) Reorder the terms: -122 = 3x + -7(2 + 3x) -122 = 3x + (2 * -7 + 3x * -7) -122 = 3x + (-14 + -21x) Reorder the terms: -122 = -14 + 3x + -21x Combine like terms: 3x + -21x = -18x -122 = -14 + -18x Solving -122 = -14 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -122 + 18x = -14 + -18x + 18x Combine like terms: -18x + 18x = 0 -122 + 18x = -14 + 0 -122 + 18x = -14 Add '122' to each side of the equation. -122 + 122 + 18x = -14 + 122 Combine like terms: -122 + 122 = 0 0 + 18x = -14 + 122 18x = -14 + 122 Combine like terms: -14 + 122 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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