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Simplifying 9[6 + -7(x + -1)] + 6[(2x + 7) + -9] = 18x + -341 Reorder the terms: 9[6 + -7(-1 + x)] + 6[(2x + 7) + -9] = 18x + -341 9[6 + (-1 * -7 + x * -7)] + 6[(2x + 7) + -9] = 18x + -341 9[6 + (7 + -7x)] + 6[(2x + 7) + -9] = 18x + -341 Combine like terms: 6 + 7 = 13 9[13 + -7x] + 6[(2x + 7) + -9] = 18x + -341 [13 * 9 + -7x * 9] + 6[(2x + 7) + -9] = 18x + -341 [117 + -63x] + 6[(2x + 7) + -9] = 18x + -341 Reorder the terms: 117 + -63x + 6[(7 + 2x) + -9] = 18x + -341 Remove parenthesis around (7 + 2x) 117 + -63x + 6[7 + 2x + -9] = 18x + -341 Reorder the terms: 117 + -63x + 6[7 + -9 + 2x] = 18x + -341 Combine like terms: 7 + -9 = -2 117 + -63x + 6[-2 + 2x] = 18x + -341 117 + -63x + [-2 * 6 + 2x * 6] = 18x + -341 117 + -63x + [-12 + 12x] = 18x + -341 Reorder the terms: 117 + -12 + -63x + 12x = 18x + -341 Combine like terms: 117 + -12 = 105 105 + -63x + 12x = 18x + -341 Combine like terms: -63x + 12x = -51x 105 + -51x = 18x + -341 Reorder the terms: 105 + -51x = -341 + 18x Solving 105 + -51x = -341 + 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. 105 + -51x + -18x = -341 + 18x + -18x Combine like terms: -51x + -18x = -69x 105 + -69x = -341 + 18x + -18x Combine like terms: 18x + -18x = 0 105 + -69x = -341 + 0 105 + -69x = -341 Add '-105' to each side of the equation. 105 + -105 + -69x = -341 + -105 Combine like terms: 105 + -105 = 0 0 + -69x = -341 + -105 -69x = -341 + -105 Combine like terms: -341 + -105 = -446 -69x = -446 Divide each side by '-69'. x = 6.463768116 Simplifying x = 6.463768116
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