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Simplifying 50 = (x + -400) + -0.34(x + -400) Reorder the terms: 50 = (-400 + x) + -0.34(x + -400) Remove parenthesis around (-400 + x) 50 = -400 + x + -0.34(x + -400) Reorder the terms: 50 = -400 + x + -0.34(-400 + x) 50 = -400 + x + (-400 * -0.34 + x * -0.34) 50 = -400 + x + (136 + -0.34x) Reorder the terms: 50 = -400 + 136 + x + -0.34x Combine like terms: -400 + 136 = -264 50 = -264 + x + -0.34x Combine like terms: x + -0.34x = 0.66x 50 = -264 + 0.66x Solving 50 = -264 + 0.66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.66x' to each side of the equation. 50 + -0.66x = -264 + 0.66x + -0.66x Combine like terms: 0.66x + -0.66x = 0.00 50 + -0.66x = -264 + 0.00 50 + -0.66x = -264 Add '-50' to each side of the equation. 50 + -50 + -0.66x = -264 + -50 Combine like terms: 50 + -50 = 0 0 + -0.66x = -264 + -50 -0.66x = -264 + -50 Combine like terms: -264 + -50 = -314 -0.66x = -314 Divide each side by '-0.66'. x = 475.7575758 Simplifying x = 475.7575758
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