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Simplifying 0.20x + 0.50(2 + -1x) = 0.10(-14) 0.20x + (2 * 0.50 + -1x * 0.50) = 0.10(-14) 0.20x + (1 + -0.5x) = 0.10(-14) Reorder the terms: 1 + 0.20x + -0.5x = 0.10(-14) Combine like terms: 0.20x + -0.5x = -0.3x 1 + -0.3x = 0.10(-14) Multiply 0.10 * -14 1 + -0.3x = -1.4 Solving 1 + -0.3x = -1.4 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 + -0.3x = -1.4 + -1 Combine like terms: 1 + -1 = 0 0 + -0.3x = -1.4 + -1 -0.3x = -1.4 + -1 Combine like terms: -1.4 + -1 = -2.4 -0.3x = -2.4 Divide each side by '-0.3'. x = 8 Simplifying x = 8
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