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Simplifying 50 = x + -1(403.45 + 0.1x) 50 = x + (403.45 * -1 + 0.1x * -1) 50 = x + (-403.45 + -0.1x) Reorder the terms: 50 = -403.45 + x + -0.1x Combine like terms: x + -0.1x = 0.9x 50 = -403.45 + 0.9x Solving 50 = -403.45 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 50 + -0.9x = -403.45 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 50 + -0.9x = -403.45 + 0.0 50 + -0.9x = -403.45 Add '-50' to each side of the equation. 50 + -50 + -0.9x = -403.45 + -50 Combine like terms: 50 + -50 = 0 0 + -0.9x = -403.45 + -50 -0.9x = -403.45 + -50 Combine like terms: -403.45 + -50 = -453.45 -0.9x = -453.45 Divide each side by '-0.9'. x = 503.8333333 Simplifying x = 503.8333333
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