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Simplifying 0.10x + 0.2(70) = 0.8(x + 400) Multiply 0.2 * 70 0.10x + 14 = 0.8(x + 400) Reorder the terms: 14 + 0.10x = 0.8(x + 400) Reorder the terms: 14 + 0.10x = 0.8(400 + x) 14 + 0.10x = (400 * 0.8 + x * 0.8) 14 + 0.10x = (320 + 0.8x) Solving 14 + 0.10x = 320 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 14 + 0.10x + -0.8x = 320 + 0.8x + -0.8x Combine like terms: 0.10x + -0.8x = -0.7x 14 + -0.7x = 320 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 14 + -0.7x = 320 + 0.0 14 + -0.7x = 320 Add '-14' to each side of the equation. 14 + -14 + -0.7x = 320 + -14 Combine like terms: 14 + -14 = 0 0 + -0.7x = 320 + -14 -0.7x = 320 + -14 Combine like terms: 320 + -14 = 306 -0.7x = 306 Divide each side by '-0.7'. x = -437.1428571 Simplifying x = -437.1428571
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