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Simplifying 0.007(x + 7) = 0.009x + 0.031 Reorder the terms: 0.007(7 + x) = 0.009x + 0.031 (7 * 0.007 + x * 0.007) = 0.009x + 0.031 (0.049 + 0.007x) = 0.009x + 0.031 Reorder the terms: 0.049 + 0.007x = 0.031 + 0.009x Solving 0.049 + 0.007x = 0.031 + 0.009x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.009x' to each side of the equation. 0.049 + 0.007x + -0.009x = 0.031 + 0.009x + -0.009x Combine like terms: 0.007x + -0.009x = -0.002x 0.049 + -0.002x = 0.031 + 0.009x + -0.009x Combine like terms: 0.009x + -0.009x = 0.000 0.049 + -0.002x = 0.031 + 0.000 0.049 + -0.002x = 0.031 Add '-0.049' to each side of the equation. 0.049 + -0.049 + -0.002x = 0.031 + -0.049 Combine like terms: 0.049 + -0.049 = 0.000 0.000 + -0.002x = 0.031 + -0.049 -0.002x = 0.031 + -0.049 Combine like terms: 0.031 + -0.049 = -0.018 -0.002x = -0.018 Divide each side by '-0.002'. x = 9 Simplifying x = 9
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