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Simplifying 4x + -7(-5x + 16) = 122 Reorder the terms: 4x + -7(16 + -5x) = 122 4x + (16 * -7 + -5x * -7) = 122 4x + (-112 + 35x) = 122 Reorder the terms: -112 + 4x + 35x = 122 Combine like terms: 4x + 35x = 39x -112 + 39x = 122 Solving -112 + 39x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '112' to each side of the equation. -112 + 112 + 39x = 122 + 112 Combine like terms: -112 + 112 = 0 0 + 39x = 122 + 112 39x = 122 + 112 Combine like terms: 122 + 112 = 234 39x = 234 Divide each side by '39'. x = 6 Simplifying x = 6
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