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Simplifying 8[3 + -8(x + -1)] + 7[(4x + 5) + -8] = 16x + -335 Reorder the terms: 8[3 + -8(-1 + x)] + 7[(4x + 5) + -8] = 16x + -335 8[3 + (-1 * -8 + x * -8)] + 7[(4x + 5) + -8] = 16x + -335 8[3 + (8 + -8x)] + 7[(4x + 5) + -8] = 16x + -335 Combine like terms: 3 + 8 = 11 8[11 + -8x] + 7[(4x + 5) + -8] = 16x + -335 [11 * 8 + -8x * 8] + 7[(4x + 5) + -8] = 16x + -335 [88 + -64x] + 7[(4x + 5) + -8] = 16x + -335 Reorder the terms: 88 + -64x + 7[(5 + 4x) + -8] = 16x + -335 Remove parenthesis around (5 + 4x) 88 + -64x + 7[5 + 4x + -8] = 16x + -335 Reorder the terms: 88 + -64x + 7[5 + -8 + 4x] = 16x + -335 Combine like terms: 5 + -8 = -3 88 + -64x + 7[-3 + 4x] = 16x + -335 88 + -64x + [-3 * 7 + 4x * 7] = 16x + -335 88 + -64x + [-21 + 28x] = 16x + -335 Reorder the terms: 88 + -21 + -64x + 28x = 16x + -335 Combine like terms: 88 + -21 = 67 67 + -64x + 28x = 16x + -335 Combine like terms: -64x + 28x = -36x 67 + -36x = 16x + -335 Reorder the terms: 67 + -36x = -335 + 16x Solving 67 + -36x = -335 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 67 + -36x + -16x = -335 + 16x + -16x Combine like terms: -36x + -16x = -52x 67 + -52x = -335 + 16x + -16x Combine like terms: 16x + -16x = 0 67 + -52x = -335 + 0 67 + -52x = -335 Add '-67' to each side of the equation. 67 + -67 + -52x = -335 + -67 Combine like terms: 67 + -67 = 0 0 + -52x = -335 + -67 -52x = -335 + -67 Combine like terms: -335 + -67 = -402 -52x = -402 Divide each side by '-52'. x = 7.730769231 Simplifying x = 7.730769231
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