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Simplifying 0.8(13) + 1x = 0.95(13 + x) Multiply 0.8 * 13 10.4 + 1x = 0.95(13 + x) 10.4 + 1x = (13 * 0.95 + x * 0.95) 10.4 + 1x = (12.35 + 0.95x) Solving 10.4 + 1x = 12.35 + 0.95x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.95x' to each side of the equation. 10.4 + 1x + -0.95x = 12.35 + 0.95x + -0.95x Combine like terms: 1x + -0.95x = 0.05x 10.4 + 0.05x = 12.35 + 0.95x + -0.95x Combine like terms: 0.95x + -0.95x = 0.00 10.4 + 0.05x = 12.35 + 0.00 10.4 + 0.05x = 12.35 Add '-10.4' to each side of the equation. 10.4 + -10.4 + 0.05x = 12.35 + -10.4 Combine like terms: 10.4 + -10.4 = 0.0 0.0 + 0.05x = 12.35 + -10.4 0.05x = 12.35 + -10.4 Combine like terms: 12.35 + -10.4 = 1.95 0.05x = 1.95 Divide each side by '0.05'. x = 39 Simplifying x = 39
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