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Simplifying 0.65x + 0.5(2 + -1x) = 0.10(-71) 0.65x + (2 * 0.5 + -1x * 0.5) = 0.10(-71) 0.65x + (1 + -0.5x) = 0.10(-71) Reorder the terms: 1 + 0.65x + -0.5x = 0.10(-71) Combine like terms: 0.65x + -0.5x = 0.15x 1 + 0.15x = 0.10(-71) Multiply 0.10 * -71 1 + 0.15x = -7.1 Solving 1 + 0.15x = -7.1 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 + 0.15x = -7.1 + -1 Combine like terms: 1 + -1 = 0 0 + 0.15x = -7.1 + -1 0.15x = -7.1 + -1 Combine like terms: -7.1 + -1 = -8.1 0.15x = -8.1 Divide each side by '0.15'. x = -54 Simplifying x = -54
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