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Simplifying 6.3x + -2.26656 = 3.1 + -2.965(6.6x + 5.2) Reorder the terms: -2.26656 + 6.3x = 3.1 + -2.965(6.6x + 5.2) Reorder the terms: -2.26656 + 6.3x = 3.1 + -2.965(5.2 + 6.6x) -2.26656 + 6.3x = 3.1 + (5.2 * -2.965 + 6.6x * -2.965) -2.26656 + 6.3x = 3.1 + (-15.418 + -19.569x) Combine like terms: 3.1 + -15.418 = -12.318 -2.26656 + 6.3x = -12.318 + -19.569x Solving -2.26656 + 6.3x = -12.318 + -19.569x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19.569x' to each side of the equation. -2.26656 + 6.3x + 19.569x = -12.318 + -19.569x + 19.569x Combine like terms: 6.3x + 19.569x = 25.869x -2.26656 + 25.869x = -12.318 + -19.569x + 19.569x Combine like terms: -19.569x + 19.569x = 0.000 -2.26656 + 25.869x = -12.318 + 0.000 -2.26656 + 25.869x = -12.318 Add '2.26656' to each side of the equation. -2.26656 + 2.26656 + 25.869x = -12.318 + 2.26656 Combine like terms: -2.26656 + 2.26656 = 0.00000 0.00000 + 25.869x = -12.318 + 2.26656 25.869x = -12.318 + 2.26656 Combine like terms: -12.318 + 2.26656 = -10.05144 25.869x = -10.05144 Divide each side by '25.869'. x = -0.3885515482 Simplifying x = -0.3885515482
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