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Simplifying 3.8x + -1(-1 + -9.7x) = 2.6 + 23.3x 3.8x + (-1 * -1 + -9.7x * -1) = 2.6 + 23.3x 3.8x + (1 + 9.7x) = 2.6 + 23.3x Reorder the terms: 1 + 3.8x + 9.7x = 2.6 + 23.3x Combine like terms: 3.8x + 9.7x = 13.5x 1 + 13.5x = 2.6 + 23.3x Solving 1 + 13.5x = 2.6 + 23.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23.3x' to each side of the equation. 1 + 13.5x + -23.3x = 2.6 + 23.3x + -23.3x Combine like terms: 13.5x + -23.3x = -9.8x 1 + -9.8x = 2.6 + 23.3x + -23.3x Combine like terms: 23.3x + -23.3x = 0.0 1 + -9.8x = 2.6 + 0.0 1 + -9.8x = 2.6 Add '-1' to each side of the equation. 1 + -1 + -9.8x = 2.6 + -1 Combine like terms: 1 + -1 = 0 0 + -9.8x = 2.6 + -1 -9.8x = 2.6 + -1 Combine like terms: 2.6 + -1 = 1.6 -9.8x = 1.6 Divide each side by '-9.8'. x = -0.1632653061 Simplifying x = -0.1632653061
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