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Simplifying 3(2x + -1) + -5(12x + -7) + 7(6x + -1) = 122 Reorder the terms: 3(-1 + 2x) + -5(12x + -7) + 7(6x + -1) = 122 (-1 * 3 + 2x * 3) + -5(12x + -7) + 7(6x + -1) = 122 (-3 + 6x) + -5(12x + -7) + 7(6x + -1) = 122 Reorder the terms: -3 + 6x + -5(-7 + 12x) + 7(6x + -1) = 122 -3 + 6x + (-7 * -5 + 12x * -5) + 7(6x + -1) = 122 -3 + 6x + (35 + -60x) + 7(6x + -1) = 122 Reorder the terms: -3 + 6x + 35 + -60x + 7(-1 + 6x) = 122 -3 + 6x + 35 + -60x + (-1 * 7 + 6x * 7) = 122 -3 + 6x + 35 + -60x + (-7 + 42x) = 122 Reorder the terms: -3 + 35 + -7 + 6x + -60x + 42x = 122 Combine like terms: -3 + 35 = 32 32 + -7 + 6x + -60x + 42x = 122 Combine like terms: 32 + -7 = 25 25 + 6x + -60x + 42x = 122 Combine like terms: 6x + -60x = -54x 25 + -54x + 42x = 122 Combine like terms: -54x + 42x = -12x 25 + -12x = 122 Solving 25 + -12x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -12x = 122 + -25 Combine like terms: 25 + -25 = 0 0 + -12x = 122 + -25 -12x = 122 + -25 Combine like terms: 122 + -25 = 97 -12x = 97 Divide each side by '-12'. x = -8.083333333 Simplifying x = -8.083333333
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