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Simplifying X + 0.05(12 + -1x) = 0.10(x + -1) X + (12 * 0.05 + -1x * 0.05) = 0.10(x + -1) X + (0.6 + -0.05x) = 0.10(x + -1) Reorder the terms: 0.6 + X + -0.05x = 0.10(x + -1) Reorder the terms: 0.6 + X + -0.05x = 0.10(-1 + x) 0.6 + X + -0.05x = (-1 * 0.10 + x * 0.10) 0.6 + X + -0.05x = (-0.1 + 0.10x) Solving 0.6 + X + -0.05x = -0.1 + 0.10x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + X + -0.6 + -0.05x = -0.1 + -0.6 + 0.10x Reorder the terms: 0.6 + -0.6 + X + -0.05x = -0.1 + -0.6 + 0.10x Combine like terms: 0.6 + -0.6 = 0.0 0.0 + X + -0.05x = -0.1 + -0.6 + 0.10x X + -0.05x = -0.1 + -0.6 + 0.10x Combine like terms: -0.1 + -0.6 = -0.7 X + -0.05x = -0.7 + 0.10x Add '0.05x' to each side of the equation. X + -0.05x + 0.05x = -0.7 + 0.10x + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 X + 0.00 = -0.7 + 0.10x + 0.05x X = -0.7 + 0.10x + 0.05x Combine like terms: 0.10x + 0.05x = 0.15x X = -0.7 + 0.15x Simplifying X = -0.7 + 0.15x
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