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Simplifying 8.701(3.4 + -5.1x) + -89.321 = 5.401x + 74.65787 (3.4 * 8.701 + -5.1x * 8.701) + -89.321 = 5.401x + 74.65787 (29.5834 + -44.3751x) + -89.321 = 5.401x + 74.65787 Reorder the terms: 29.5834 + -89.321 + -44.3751x = 5.401x + 74.65787 Combine like terms: 29.5834 + -89.321 = -59.7376 -59.7376 + -44.3751x = 5.401x + 74.65787 Reorder the terms: -59.7376 + -44.3751x = 74.65787 + 5.401x Solving -59.7376 + -44.3751x = 74.65787 + 5.401x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.401x' to each side of the equation. -59.7376 + -44.3751x + -5.401x = 74.65787 + 5.401x + -5.401x Combine like terms: -44.3751x + -5.401x = -49.7761x -59.7376 + -49.7761x = 74.65787 + 5.401x + -5.401x Combine like terms: 5.401x + -5.401x = 0.000 -59.7376 + -49.7761x = 74.65787 + 0.000 -59.7376 + -49.7761x = 74.65787 Add '59.7376' to each side of the equation. -59.7376 + 59.7376 + -49.7761x = 74.65787 + 59.7376 Combine like terms: -59.7376 + 59.7376 = 0.0000 0.0000 + -49.7761x = 74.65787 + 59.7376 -49.7761x = 74.65787 + 59.7376 Combine like terms: 74.65787 + 59.7376 = 134.39547 -49.7761x = 134.39547 Divide each side by '-49.7761'. x = -2.7 Simplifying x = -2.7
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