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Simplifying 8[4 + -5(x + -1)] + 7[(3x + 7) + -8] = 11 + -340 Reorder the terms: 8[4 + -5(-1 + x)] + 7[(3x + 7) + -8] = 11 + -340 8[4 + (-1 * -5 + x * -5)] + 7[(3x + 7) + -8] = 11 + -340 8[4 + (5 + -5x)] + 7[(3x + 7) + -8] = 11 + -340 Combine like terms: 4 + 5 = 9 8[9 + -5x] + 7[(3x + 7) + -8] = 11 + -340 [9 * 8 + -5x * 8] + 7[(3x + 7) + -8] = 11 + -340 [72 + -40x] + 7[(3x + 7) + -8] = 11 + -340 Reorder the terms: 72 + -40x + 7[(7 + 3x) + -8] = 11 + -340 Remove parenthesis around (7 + 3x) 72 + -40x + 7[7 + 3x + -8] = 11 + -340 Reorder the terms: 72 + -40x + 7[7 + -8 + 3x] = 11 + -340 Combine like terms: 7 + -8 = -1 72 + -40x + 7[-1 + 3x] = 11 + -340 72 + -40x + [-1 * 7 + 3x * 7] = 11 + -340 72 + -40x + [-7 + 21x] = 11 + -340 Reorder the terms: 72 + -7 + -40x + 21x = 11 + -340 Combine like terms: 72 + -7 = 65 65 + -40x + 21x = 11 + -340 Combine like terms: -40x + 21x = -19x 65 + -19x = 11 + -340 Combine like terms: 11 + -340 = -329 65 + -19x = -329 Solving 65 + -19x = -329 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -19x = -329 + -65 Combine like terms: 65 + -65 = 0 0 + -19x = -329 + -65 -19x = -329 + -65 Combine like terms: -329 + -65 = -394 -19x = -394 Divide each side by '-19'. x = 20.73684211 Simplifying x = 20.73684211
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