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Simplifying 7[9 + -7(8 + -1x)] + -9 = 9[7(9x + -8) + 6] * 82 7[9 + (8 * -7 + -1x * -7)] + -9 = 9[7(9x + -8) + 6] * 82 7[9 + (-56 + 7x)] + -9 = 9[7(9x + -8) + 6] * 82 Combine like terms: 9 + -56 = -47 7[-47 + 7x] + -9 = 9[7(9x + -8) + 6] * 82 [-47 * 7 + 7x * 7] + -9 = 9[7(9x + -8) + 6] * 82 [-329 + 49x] + -9 = 9[7(9x + -8) + 6] * 82 Reorder the terms: -329 + -9 + 49x = 9[7(9x + -8) + 6] * 82 Combine like terms: -329 + -9 = -338 -338 + 49x = 9[7(9x + -8) + 6] * 82 Reorder the terms: -338 + 49x = 9[7(-8 + 9x) + 6] * 82 -338 + 49x = 9[(-8 * 7 + 9x * 7) + 6] * 82 -338 + 49x = 9[(-56 + 63x) + 6] * 82 Reorder the terms: -338 + 49x = 9[-56 + 6 + 63x] * 82 Combine like terms: -56 + 6 = -50 -338 + 49x = 9[-50 + 63x] * 82 Reorder the terms for easier multiplication: -338 + 49x = 9 * 82[-50 + 63x] Multiply 9 * 82 -338 + 49x = 738[-50 + 63x] -338 + 49x = [-50 * 738 + 63x * 738] -338 + 49x = [-36900 + 46494x] Solving -338 + 49x = -36900 + 46494x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46494x' to each side of the equation. -338 + 49x + -46494x = -36900 + 46494x + -46494x Combine like terms: 49x + -46494x = -46445x -338 + -46445x = -36900 + 46494x + -46494x Combine like terms: 46494x + -46494x = 0 -338 + -46445x = -36900 + 0 -338 + -46445x = -36900 Add '338' to each side of the equation. -338 + 338 + -46445x = -36900 + 338 Combine like terms: -338 + 338 = 0 0 + -46445x = -36900 + 338 -46445x = -36900 + 338 Combine like terms: -36900 + 338 = -36562 -46445x = -36562 Divide each side by '-46445'. x = 0.7872106793 Simplifying x = 0.7872106793
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