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Simplifying 13.65 + 0.06(x + 3) = 14.15 + 0.12 Reorder the terms: 13.65 + 0.06(3 + x) = 14.15 + 0.12 13.65 + (3 * 0.06 + x * 0.06) = 14.15 + 0.12 13.65 + (0.18 + 0.06x) = 14.15 + 0.12 Combine like terms: 13.65 + 0.18 = 13.83 13.83 + 0.06x = 14.15 + 0.12 Combine like terms: 14.15 + 0.12 = 14.27 13.83 + 0.06x = 14.27 Solving 13.83 + 0.06x = 14.27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.83' to each side of the equation. 13.83 + -13.83 + 0.06x = 14.27 + -13.83 Combine like terms: 13.83 + -13.83 = 0.00 0.00 + 0.06x = 14.27 + -13.83 0.06x = 14.27 + -13.83 Combine like terms: 14.27 + -13.83 = 0.44 0.06x = 0.44 Divide each side by '0.06'. x = 7.333333333 Simplifying x = 7.333333333
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