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Simplifying 7[4 + 7(8 + -1x) + -2x] = 4x + -9 7[4 + (8 * 7 + -1x * 7) + -2x] = 4x + -9 7[4 + (56 + -7x) + -2x] = 4x + -9 Combine like terms: 4 + 56 = 60 7[60 + -7x + -2x] = 4x + -9 Combine like terms: -7x + -2x = -9x 7[60 + -9x] = 4x + -9 [60 * 7 + -9x * 7] = 4x + -9 [420 + -63x] = 4x + -9 Reorder the terms: 420 + -63x = -9 + 4x Solving 420 + -63x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 420 + -63x + -4x = -9 + 4x + -4x Combine like terms: -63x + -4x = -67x 420 + -67x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 420 + -67x = -9 + 0 420 + -67x = -9 Add '-420' to each side of the equation. 420 + -420 + -67x = -9 + -420 Combine like terms: 420 + -420 = 0 0 + -67x = -9 + -420 -67x = -9 + -420 Combine like terms: -9 + -420 = -429 -67x = -429 Divide each side by '-67'. x = 6.402985075 Simplifying x = 6.402985075
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