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Simplifying 9[5 + -7(x + -1)] + 6[(3x + 2) + -5] = 12x + -341 Reorder the terms: 9[5 + -7(-1 + x)] + 6[(3x + 2) + -5] = 12x + -341 9[5 + (-1 * -7 + x * -7)] + 6[(3x + 2) + -5] = 12x + -341 9[5 + (7 + -7x)] + 6[(3x + 2) + -5] = 12x + -341 Combine like terms: 5 + 7 = 12 9[12 + -7x] + 6[(3x + 2) + -5] = 12x + -341 [12 * 9 + -7x * 9] + 6[(3x + 2) + -5] = 12x + -341 [108 + -63x] + 6[(3x + 2) + -5] = 12x + -341 Reorder the terms: 108 + -63x + 6[(2 + 3x) + -5] = 12x + -341 Remove parenthesis around (2 + 3x) 108 + -63x + 6[2 + 3x + -5] = 12x + -341 Reorder the terms: 108 + -63x + 6[2 + -5 + 3x] = 12x + -341 Combine like terms: 2 + -5 = -3 108 + -63x + 6[-3 + 3x] = 12x + -341 108 + -63x + [-3 * 6 + 3x * 6] = 12x + -341 108 + -63x + [-18 + 18x] = 12x + -341 Reorder the terms: 108 + -18 + -63x + 18x = 12x + -341 Combine like terms: 108 + -18 = 90 90 + -63x + 18x = 12x + -341 Combine like terms: -63x + 18x = -45x 90 + -45x = 12x + -341 Reorder the terms: 90 + -45x = -341 + 12x Solving 90 + -45x = -341 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 90 + -45x + -12x = -341 + 12x + -12x Combine like terms: -45x + -12x = -57x 90 + -57x = -341 + 12x + -12x Combine like terms: 12x + -12x = 0 90 + -57x = -341 + 0 90 + -57x = -341 Add '-90' to each side of the equation. 90 + -90 + -57x = -341 + -90 Combine like terms: 90 + -90 = 0 0 + -57x = -341 + -90 -57x = -341 + -90 Combine like terms: -341 + -90 = -431 -57x = -431 Divide each side by '-57'. x = 7.561403509 Simplifying x = 7.561403509
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