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Simplifying 0.15x + 0.05(6 + -1x) = 0.10(-7) 0.15x + (6 * 0.05 + -1x * 0.05) = 0.10(-7) 0.15x + (0.3 + -0.05x) = 0.10(-7) Reorder the terms: 0.3 + 0.15x + -0.05x = 0.10(-7) Combine like terms: 0.15x + -0.05x = 0.1x 0.3 + 0.1x = 0.10(-7) Multiply 0.10 * -7 0.3 + 0.1x = -0.7 Solving 0.3 + 0.1x = -0.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.1x = -0.7 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.1x = -0.7 + -0.3 0.1x = -0.7 + -0.3 Combine like terms: -0.7 + -0.3 = -1 0.1x = -1 Divide each side by '0.1'. x = -10 Simplifying x = -10
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