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Simplifying 0.90x + 0.5(12 + -1x) = 0.10(-62) 0.90x + (12 * 0.5 + -1x * 0.5) = 0.10(-62) 0.90x + (6 + -0.5x) = 0.10(-62) Reorder the terms: 6 + 0.90x + -0.5x = 0.10(-62) Combine like terms: 0.90x + -0.5x = 0.4x 6 + 0.4x = 0.10(-62) Multiply 0.10 * -62 6 + 0.4x = -6.2 Solving 6 + 0.4x = -6.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.4x = -6.2 + -6 Combine like terms: 6 + -6 = 0 0 + 0.4x = -6.2 + -6 0.4x = -6.2 + -6 Combine like terms: -6.2 + -6 = -12.2 0.4x = -12.2 Divide each side by '0.4'. x = -30.5 Simplifying x = -30.5
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