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Simplifying 3.8 + -1(-1 + -9.7x) = 2.6 + 13.3x 3.8 + (-1 * -1 + -9.7x * -1) = 2.6 + 13.3x 3.8 + (1 + 9.7x) = 2.6 + 13.3x Combine like terms: 3.8 + 1 = 4.8 4.8 + 9.7x = 2.6 + 13.3x Solving 4.8 + 9.7x = 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. 4.8 + 9.7x + -13.3x = 2.6 + 13.3x + -13.3x Combine like terms: 9.7x + -13.3x = -3.6x 4.8 + -3.6x = 2.6 + 13.3x + -13.3x Combine like terms: 13.3x + -13.3x = 0.0 4.8 + -3.6x = 2.6 + 0.0 4.8 + -3.6x = 2.6 Add '-4.8' to each side of the equation. 4.8 + -4.8 + -3.6x = 2.6 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -3.6x = 2.6 + -4.8 -3.6x = 2.6 + -4.8 Combine like terms: 2.6 + -4.8 = -2.2 -3.6x = -2.2 Divide each side by '-3.6'. x = 0.6111111111 Simplifying x = 0.6111111111
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