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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 = 1.6 0.2x = 1.6 Divide each side by '0.2'. x = 8 Simplifying x = 8
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