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Simplifying 0.95x + 0.05(14 + -1x) = 0.10(-101) 0.95x + (14 * 0.05 + -1x * 0.05) = 0.10(-101) 0.95x + (0.7 + -0.05x) = 0.10(-101) Reorder the terms: 0.7 + 0.95x + -0.05x = 0.10(-101) Combine like terms: 0.95x + -0.05x = 0.9x 0.7 + 0.9x = 0.10(-101) Multiply 0.10 * -101 0.7 + 0.9x = -10.1 Solving 0.7 + 0.9x = -10.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.9x = -10.1 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.9x = -10.1 + -0.7 0.9x = -10.1 + -0.7 Combine like terms: -10.1 + -0.7 = -10.8 0.9x = -10.8 Divide each side by '0.9'. x = -12 Simplifying x = -12
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