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Simplifying 0.45x + 0.35(4 + -1x) = 0.5(-1) 0.45x + (4 * 0.35 + -1x * 0.35) = 0.5(-1) 0.45x + (1.4 + -0.35x) = 0.5(-1) Reorder the terms: 1.4 + 0.45x + -0.35x = 0.5(-1) Combine like terms: 0.45x + -0.35x = 0.1x 1.4 + 0.1x = 0.5(-1) Multiply 0.5 * -1 1.4 + 0.1x = -0.5 Solving 1.4 + 0.1x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.1x = -0.5 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.1x = -0.5 + -1.4 0.1x = -0.5 + -1.4 Combine like terms: -0.5 + -1.4 = -1.9 0.1x = -1.9 Divide each side by '0.1'. x = -19 Simplifying x = -19
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