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Simplifying 6.8x + 9.3 = -9.4 + 3.4(2 + -5x) Reorder the terms: 9.3 + 6.8x = -9.4 + 3.4(2 + -5x) 9.3 + 6.8x = -9.4 + (2 * 3.4 + -5x * 3.4) 9.3 + 6.8x = -9.4 + (6.8 + -17x) Combine like terms: -9.4 + 6.8 = -2.6 9.3 + 6.8x = -2.6 + -17x Solving 9.3 + 6.8x = -2.6 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 9.3 + 6.8x + 17x = -2.6 + -17x + 17x Combine like terms: 6.8x + 17x = 23.8x 9.3 + 23.8x = -2.6 + -17x + 17x Combine like terms: -17x + 17x = 0 9.3 + 23.8x = -2.6 + 0 9.3 + 23.8x = -2.6 Add '-9.3' to each side of the equation. 9.3 + -9.3 + 23.8x = -2.6 + -9.3 Combine like terms: 9.3 + -9.3 = 0.0 0.0 + 23.8x = -2.6 + -9.3 23.8x = -2.6 + -9.3 Combine like terms: -2.6 + -9.3 = -11.9 23.8x = -11.9 Divide each side by '23.8'. x = -0.5 Simplifying x = -0.5
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