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Simplifying 0.45 + 0.35(4 + -1x) = 0.1(-1) 0.45 + (4 * 0.35 + -1x * 0.35) = 0.1(-1) 0.45 + (1.4 + -0.35x) = 0.1(-1) Combine like terms: 0.45 + 1.4 = 1.85 1.85 + -0.35x = 0.1(-1) Multiply 0.1 * -1 1.85 + -0.35x = -0.1 Solving 1.85 + -0.35x = -0.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.85' to each side of the equation. 1.85 + -1.85 + -0.35x = -0.1 + -1.85 Combine like terms: 1.85 + -1.85 = 0.00 0.00 + -0.35x = -0.1 + -1.85 -0.35x = -0.1 + -1.85 Combine like terms: -0.1 + -1.85 = -1.95 -0.35x = -1.95 Divide each side by '-0.35'. x = 5.571428571 Simplifying x = 5.571428571
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