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Simplifying 0.005(x + 7) = 0.008x + 0.014 Reorder the terms: 0.005(7 + x) = 0.008x + 0.014 (7 * 0.005 + x * 0.005) = 0.008x + 0.014 (0.035 + 0.005x) = 0.008x + 0.014 Reorder the terms: 0.035 + 0.005x = 0.014 + 0.008x Solving 0.035 + 0.005x = 0.014 + 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. 0.035 + 0.005x + -0.008x = 0.014 + 0.008x + -0.008x Combine like terms: 0.005x + -0.008x = -0.003x 0.035 + -0.003x = 0.014 + 0.008x + -0.008x Combine like terms: 0.008x + -0.008x = 0.000 0.035 + -0.003x = 0.014 + 0.000 0.035 + -0.003x = 0.014 Add '-0.035' to each side of the equation. 0.035 + -0.035 + -0.003x = 0.014 + -0.035 Combine like terms: 0.035 + -0.035 = 0.000 0.000 + -0.003x = 0.014 + -0.035 -0.003x = 0.014 + -0.035 Combine like terms: 0.014 + -0.035 = -0.021 -0.003x = -0.021 Divide each side by '-0.003'. x = 7 Simplifying x = 7
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