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Simplifying 4[x + -7(x + 12)] + -8 = 5[-8(3 + -1x) + 10x] Reorder the terms: 4[x + -7(12 + x)] + -8 = 5[-8(3 + -1x) + 10x] 4[x + (12 * -7 + x * -7)] + -8 = 5[-8(3 + -1x) + 10x] 4[x + (-84 + -7x)] + -8 = 5[-8(3 + -1x) + 10x] Reorder the terms: 4[-84 + x + -7x] + -8 = 5[-8(3 + -1x) + 10x] Combine like terms: x + -7x = -6x 4[-84 + -6x] + -8 = 5[-8(3 + -1x) + 10x] [-84 * 4 + -6x * 4] + -8 = 5[-8(3 + -1x) + 10x] [-336 + -24x] + -8 = 5[-8(3 + -1x) + 10x] Reorder the terms: -336 + -8 + -24x = 5[-8(3 + -1x) + 10x] Combine like terms: -336 + -8 = -344 -344 + -24x = 5[-8(3 + -1x) + 10x] -344 + -24x = 5[(3 * -8 + -1x * -8) + 10x] -344 + -24x = 5[(-24 + 8x) + 10x] Combine like terms: 8x + 10x = 18x -344 + -24x = 5[-24 + 18x] -344 + -24x = [-24 * 5 + 18x * 5] -344 + -24x = [-120 + 90x] Solving -344 + -24x = -120 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. -344 + -24x + -90x = -120 + 90x + -90x Combine like terms: -24x + -90x = -114x -344 + -114x = -120 + 90x + -90x Combine like terms: 90x + -90x = 0 -344 + -114x = -120 + 0 -344 + -114x = -120 Add '344' to each side of the equation. -344 + 344 + -114x = -120 + 344 Combine like terms: -344 + 344 = 0 0 + -114x = -120 + 344 -114x = -120 + 344 Combine like terms: -120 + 344 = 224 -114x = 224 Divide each side by '-114'. x = -1.964912281 Simplifying x = -1.964912281
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