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Simplifying 0.007(5 + -1x) + 0.08(x + -4) = 1 (5 * 0.007 + -1x * 0.007) + 0.08(x + -4) = 1 (0.035 + -0.007x) + 0.08(x + -4) = 1 Reorder the terms: 0.035 + -0.007x + 0.08(-4 + x) = 1 0.035 + -0.007x + (-4 * 0.08 + x * 0.08) = 1 0.035 + -0.007x + (-0.32 + 0.08x) = 1 Reorder the terms: 0.035 + -0.32 + -0.007x + 0.08x = 1 Combine like terms: 0.035 + -0.32 = -0.285 -0.285 + -0.007x + 0.08x = 1 Combine like terms: -0.007x + 0.08x = 0.073x -0.285 + 0.073x = 1 Solving -0.285 + 0.073x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.285' to each side of the equation. -0.285 + 0.285 + 0.073x = 1 + 0.285 Combine like terms: -0.285 + 0.285 = 0.000 0.000 + 0.073x = 1 + 0.285 0.073x = 1 + 0.285 Combine like terms: 1 + 0.285 = 1.285 0.073x = 1.285 Divide each side by '0.073'. x = 17.60273973 Simplifying x = 17.60273973
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