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Simplifying 4(5.8x + -2.6) + -0.871(1 + -3x) = 6.5x + 1.2x Reorder the terms: 4(-2.6 + 5.8x) + -0.871(1 + -3x) = 6.5x + 1.2x (-2.6 * 4 + 5.8x * 4) + -0.871(1 + -3x) = 6.5x + 1.2x (-10.4 + 23.2x) + -0.871(1 + -3x) = 6.5x + 1.2x -10.4 + 23.2x + (1 * -0.871 + -3x * -0.871) = 6.5x + 1.2x -10.4 + 23.2x + (-0.871 + 2.613x) = 6.5x + 1.2x Reorder the terms: -10.4 + -0.871 + 23.2x + 2.613x = 6.5x + 1.2x Combine like terms: -10.4 + -0.871 = -11.271 -11.271 + 23.2x + 2.613x = 6.5x + 1.2x Combine like terms: 23.2x + 2.613x = 25.813x -11.271 + 25.813x = 6.5x + 1.2x Combine like terms: 6.5x + 1.2x = 7.7x -11.271 + 25.813x = 7.7x Solving -11.271 + 25.813x = 7.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.7x' to each side of the equation. -11.271 + 25.813x + -7.7x = 7.7x + -7.7x Combine like terms: 25.813x + -7.7x = 18.113x -11.271 + 18.113x = 7.7x + -7.7x Combine like terms: 7.7x + -7.7x = 0.0 -11.271 + 18.113x = 0.0 Add '11.271' to each side of the equation. -11.271 + 11.271 + 18.113x = 0.0 + 11.271 Combine like terms: -11.271 + 11.271 = 0.000 0.000 + 18.113x = 0.0 + 11.271 18.113x = 0.0 + 11.271 Combine like terms: 0.0 + 11.271 = 11.271 18.113x = 11.271 Divide each side by '18.113'. x = 0.6222602551 Simplifying x = 0.6222602551
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