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Simplifying 0.3x + 0.5(6 + -1x) = 0.1(-22) 0.3x + (6 * 0.5 + -1x * 0.5) = 0.1(-22) 0.3x + (3 + -0.5x) = 0.1(-22) Reorder the terms: 3 + 0.3x + -0.5x = 0.1(-22) Combine like terms: 0.3x + -0.5x = -0.2x 3 + -0.2x = 0.1(-22) Multiply 0.1 * -22 3 + -0.2x = -2.2 Solving 3 + -0.2x = -2.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -0.2x = -2.2 + -3 Combine like terms: 3 + -3 = 0 0 + -0.2x = -2.2 + -3 -0.2x = -2.2 + -3 Combine like terms: -2.2 + -3 = -5.2 -0.2x = -5.2 Divide each side by '-0.2'. x = 26 Simplifying x = 26
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