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Simplifying 0.007(x + 2) = 0.008x + 0.009 Reorder the terms: 0.007(2 + x) = 0.008x + 0.009 (2 * 0.007 + x * 0.007) = 0.008x + 0.009 (0.014 + 0.007x) = 0.008x + 0.009 Reorder the terms: 0.014 + 0.007x = 0.009 + 0.008x Solving 0.014 + 0.007x = 0.009 + 0.008x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.008x' to each side of the equation. 0.014 + 0.007x + -0.008x = 0.009 + 0.008x + -0.008x Combine like terms: 0.007x + -0.008x = -0.001x 0.014 + -0.001x = 0.009 + 0.008x + -0.008x Combine like terms: 0.008x + -0.008x = 0.000 0.014 + -0.001x = 0.009 + 0.000 0.014 + -0.001x = 0.009 Add '-0.014' to each side of the equation. 0.014 + -0.014 + -0.001x = 0.009 + -0.014 Combine like terms: 0.014 + -0.014 = 0.000 0.000 + -0.001x = 0.009 + -0.014 -0.001x = 0.009 + -0.014 Combine like terms: 0.009 + -0.014 = -0.005 -0.001x = -0.005 Divide each side by '-0.001'. x = 5 Simplifying x = 5
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