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Simplifying 0.35x + 0.5(8 + -1x) = 0.10(22) 0.35x + (8 * 0.5 + -1x * 0.5) = 0.10(22) 0.35x + (4 + -0.5x) = 0.10(22) Reorder the terms: 4 + 0.35x + -0.5x = 0.10(22) Combine like terms: 0.35x + -0.5x = -0.15x 4 + -0.15x = 0.10(22) Multiply 0.10 * 22 4 + -0.15x = 2.2 Solving 4 + -0.15x = 2.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -0.15x = 2.2 + -4 Combine like terms: 4 + -4 = 0 0 + -0.15x = 2.2 + -4 -0.15x = 2.2 + -4 Combine like terms: 2.2 + -4 = -1.8 -0.15x = -1.8 Divide each side by '-0.15'. x = 12 Simplifying x = 12
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