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Simplifying 0.7x + 0.5(2 + -1x) = 0.10(-97) 0.7x + (2 * 0.5 + -1x * 0.5) = 0.10(-97) 0.7x + (1 + -0.5x) = 0.10(-97) Reorder the terms: 1 + 0.7x + -0.5x = 0.10(-97) Combine like terms: 0.7x + -0.5x = 0.2x 1 + 0.2x = 0.10(-97) Multiply 0.10 * -97 1 + 0.2x = -9.7 Solving 1 + 0.2x = -9.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.2x = -9.7 + -1 Combine like terms: 1 + -1 = 0 0 + 0.2x = -9.7 + -1 0.2x = -9.7 + -1 Combine like terms: -9.7 + -1 = -10.7 0.2x = -10.7 Divide each side by '0.2'. x = -53.5 Simplifying x = -53.5
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