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Simplifying 0.10x + 0.5(12 + -1x) = 0.10(9) 0.10x + (12 * 0.5 + -1x * 0.5) = 0.10(9) 0.10x + (6 + -0.5x) = 0.10(9) Reorder the terms: 6 + 0.10x + -0.5x = 0.10(9) Combine like terms: 0.10x + -0.5x = -0.4x 6 + -0.4x = 0.10(9) Multiply 0.10 * 9 6 + -0.4x = 0.9 Solving 6 + -0.4x = 0.9 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 = 0.9 + -6 Combine like terms: 6 + -6 = 0 0 + -0.4x = 0.9 + -6 -0.4x = 0.9 + -6 Combine like terms: 0.9 + -6 = -5.1 -0.4x = -5.1 Divide each side by '-0.4'. x = 12.75 Simplifying x = 12.75
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