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Simplifying -8.7(8.4x + 4.78) + -4.5x = -13.1 + -9.5(-12.2x + -0.4) Reorder the terms: -8.7(4.78 + 8.4x) + -4.5x = -13.1 + -9.5(-12.2x + -0.4) (4.78 * -8.7 + 8.4x * -8.7) + -4.5x = -13.1 + -9.5(-12.2x + -0.4) (-41.586 + -73.08x) + -4.5x = -13.1 + -9.5(-12.2x + -0.4) Combine like terms: -73.08x + -4.5x = -77.58x -41.586 + -77.58x = -13.1 + -9.5(-12.2x + -0.4) Reorder the terms: -41.586 + -77.58x = -13.1 + -9.5(-0.4 + -12.2x) -41.586 + -77.58x = -13.1 + (-0.4 * -9.5 + -12.2x * -9.5) -41.586 + -77.58x = -13.1 + (3.8 + 115.9x) Combine like terms: -13.1 + 3.8 = -9.3 -41.586 + -77.58x = -9.3 + 115.9x Solving -41.586 + -77.58x = -9.3 + 115.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-115.9x' to each side of the equation. -41.586 + -77.58x + -115.9x = -9.3 + 115.9x + -115.9x Combine like terms: -77.58x + -115.9x = -193.48x -41.586 + -193.48x = -9.3 + 115.9x + -115.9x Combine like terms: 115.9x + -115.9x = 0.0 -41.586 + -193.48x = -9.3 + 0.0 -41.586 + -193.48x = -9.3 Add '41.586' to each side of the equation. -41.586 + 41.586 + -193.48x = -9.3 + 41.586 Combine like terms: -41.586 + 41.586 = 0.000 0.000 + -193.48x = -9.3 + 41.586 -193.48x = -9.3 + 41.586 Combine like terms: -9.3 + 41.586 = 32.286 -193.48x = 32.286 Divide each side by '-193.48'. x = -0.1668699607 Simplifying x = -0.1668699607
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