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Simplifying 9[5 + -7(x + -1)] + 6[(3x + 5) + -9] = 13x + -337 Reorder the terms: 9[5 + -7(-1 + x)] + 6[(3x + 5) + -9] = 13x + -337 9[5 + (-1 * -7 + x * -7)] + 6[(3x + 5) + -9] = 13x + -337 9[5 + (7 + -7x)] + 6[(3x + 5) + -9] = 13x + -337 Combine like terms: 5 + 7 = 12 9[12 + -7x] + 6[(3x + 5) + -9] = 13x + -337 [12 * 9 + -7x * 9] + 6[(3x + 5) + -9] = 13x + -337 [108 + -63x] + 6[(3x + 5) + -9] = 13x + -337 Reorder the terms: 108 + -63x + 6[(5 + 3x) + -9] = 13x + -337 Remove parenthesis around (5 + 3x) 108 + -63x + 6[5 + 3x + -9] = 13x + -337 Reorder the terms: 108 + -63x + 6[5 + -9 + 3x] = 13x + -337 Combine like terms: 5 + -9 = -4 108 + -63x + 6[-4 + 3x] = 13x + -337 108 + -63x + [-4 * 6 + 3x * 6] = 13x + -337 108 + -63x + [-24 + 18x] = 13x + -337 Reorder the terms: 108 + -24 + -63x + 18x = 13x + -337 Combine like terms: 108 + -24 = 84 84 + -63x + 18x = 13x + -337 Combine like terms: -63x + 18x = -45x 84 + -45x = 13x + -337 Reorder the terms: 84 + -45x = -337 + 13x Solving 84 + -45x = -337 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 84 + -45x + -13x = -337 + 13x + -13x Combine like terms: -45x + -13x = -58x 84 + -58x = -337 + 13x + -13x Combine like terms: 13x + -13x = 0 84 + -58x = -337 + 0 84 + -58x = -337 Add '-84' to each side of the equation. 84 + -84 + -58x = -337 + -84 Combine like terms: 84 + -84 = 0 0 + -58x = -337 + -84 -58x = -337 + -84 Combine like terms: -337 + -84 = -421 -58x = -421 Divide each side by '-58'. x = 7.25862069 Simplifying x = 7.25862069
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