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Simplifying 0.75x + 0.05(14 + -1x) = 0.10(-49) 0.75x + (14 * 0.05 + -1x * 0.05) = 0.10(-49) 0.75x + (0.7 + -0.05x) = 0.10(-49) Reorder the terms: 0.7 + 0.75x + -0.05x = 0.10(-49) Combine like terms: 0.75x + -0.05x = 0.7x 0.7 + 0.7x = 0.10(-49) Multiply 0.10 * -49 0.7 + 0.7x = -4.9 Solving 0.7 + 0.7x = -4.9 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 + 0.7x = -4.9 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.7x = -4.9 + -0.7 0.7x = -4.9 + -0.7 Combine like terms: -4.9 + -0.7 = -5.6 0.7x = -5.6 Divide each side by '0.7'. x = -8 Simplifying x = -8
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