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Simplifying 0.03(46) + 0.12x = 0.06(x + 46) Multiply 0.03 * 46 1.38 + 0.12x = 0.06(x + 46) Reorder the terms: 1.38 + 0.12x = 0.06(46 + x) 1.38 + 0.12x = (46 * 0.06 + x * 0.06) 1.38 + 0.12x = (2.76 + 0.06x) Solving 1.38 + 0.12x = 2.76 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 1.38 + 0.12x + -0.06x = 2.76 + 0.06x + -0.06x Combine like terms: 0.12x + -0.06x = 0.06x 1.38 + 0.06x = 2.76 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 1.38 + 0.06x = 2.76 + 0.00 1.38 + 0.06x = 2.76 Add '-1.38' to each side of the equation. 1.38 + -1.38 + 0.06x = 2.76 + -1.38 Combine like terms: 1.38 + -1.38 = 0.00 0.00 + 0.06x = 2.76 + -1.38 0.06x = 2.76 + -1.38 Combine like terms: 2.76 + -1.38 = 1.38 0.06x = 1.38 Divide each side by '0.06'. x = 23 Simplifying x = 23
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