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Simplifying 0.3x + 0.05(6 + -1x) = 0.1(-22) 0.3x + (6 * 0.05 + -1x * 0.05) = 0.1(-22) 0.3x + (0.3 + -0.05x) = 0.1(-22) Reorder the terms: 0.3 + 0.3x + -0.05x = 0.1(-22) Combine like terms: 0.3x + -0.05x = 0.25x 0.3 + 0.25x = 0.1(-22) Multiply 0.1 * -22 0.3 + 0.25x = -2.2 Solving 0.3 + 0.25x = -2.2 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 + 0.25x = -2.2 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.25x = -2.2 + -0.3 0.25x = -2.2 + -0.3 Combine like terms: -2.2 + -0.3 = -2.5 0.25x = -2.5 Divide each side by '0.25'. x = -10 Simplifying x = -10
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