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Simplifying 3.8x + -1(1 + -9.7x) = 2.6 + 13.3x 3.8x + (1 * -1 + -9.7x * -1) = 2.6 + 13.3x 3.8x + (-1 + 9.7x) = 2.6 + 13.3x Reorder the terms: -1 + 3.8x + 9.7x = 2.6 + 13.3x Combine like terms: 3.8x + 9.7x = 13.5x -1 + 13.5x = 2.6 + 13.3x Solving -1 + 13.5x = 2.6 + 13.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.3x' to each side of the equation. -1 + 13.5x + -13.3x = 2.6 + 13.3x + -13.3x Combine like terms: 13.5x + -13.3x = 0.2x -1 + 0.2x = 2.6 + 13.3x + -13.3x Combine like terms: 13.3x + -13.3x = 0.0 -1 + 0.2x = 2.6 + 0.0 -1 + 0.2x = 2.6 Add '1' to each side of the equation. -1 + 1 + 0.2x = 2.6 + 1 Combine like terms: -1 + 1 = 0 0 + 0.2x = 2.6 + 1 0.2x = 2.6 + 1 Combine like terms: 2.6 + 1 = 3.6 0.2x = 3.6 Divide each side by '0.2'. x = 18 Simplifying x = 18
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