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Simplifying 0.70x + 0.5(2 + -1x) = 0.10(-64) 0.70x + (2 * 0.5 + -1x * 0.5) = 0.10(-64) 0.70x + (1 + -0.5x) = 0.10(-64) Reorder the terms: 1 + 0.70x + -0.5x = 0.10(-64) Combine like terms: 0.70x + -0.5x = 0.2x 1 + 0.2x = 0.10(-64) Multiply 0.10 * -64 1 + 0.2x = -6.4 Solving 1 + 0.2x = -6.4 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 = -6.4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.2x = -6.4 + -1 0.2x = -6.4 + -1 Combine like terms: -6.4 + -1 = -7.4 0.2x = -7.4 Divide each side by '0.2'. x = -37 Simplifying x = -37
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