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Simplifying 0.5x + 0.40(400) = 0.10(x + 400) Multiply 0.40 * 400 0.5x + 160 = 0.10(x + 400) Reorder the terms: 160 + 0.5x = 0.10(x + 400) Reorder the terms: 160 + 0.5x = 0.10(400 + x) 160 + 0.5x = (400 * 0.10 + x * 0.10) 160 + 0.5x = (40 + 0.10x) Solving 160 + 0.5x = 40 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 160 + 0.5x + -0.10x = 40 + 0.10x + -0.10x Combine like terms: 0.5x + -0.10x = 0.4x 160 + 0.4x = 40 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 160 + 0.4x = 40 + 0.00 160 + 0.4x = 40 Add '-160' to each side of the equation. 160 + -160 + 0.4x = 40 + -160 Combine like terms: 160 + -160 = 0 0 + 0.4x = 40 + -160 0.4x = 40 + -160 Combine like terms: 40 + -160 = -120 0.4x = -120 Divide each side by '0.4'. x = -300 Simplifying x = -300
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