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Simplifying 0.03(58) + 0.12x = 0.06(x + 58) Multiply 0.03 * 58 1.74 + 0.12x = 0.06(x + 58) Reorder the terms: 1.74 + 0.12x = 0.06(58 + x) 1.74 + 0.12x = (58 * 0.06 + x * 0.06) 1.74 + 0.12x = (3.48 + 0.06x) Solving 1.74 + 0.12x = 3.48 + 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. 1.74 + 0.12x + -0.06x = 3.48 + 0.06x + -0.06x Combine like terms: 0.12x + -0.06x = 0.06x 1.74 + 0.06x = 3.48 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 1.74 + 0.06x = 3.48 + 0.00 1.74 + 0.06x = 3.48 Add '-1.74' to each side of the equation. 1.74 + -1.74 + 0.06x = 3.48 + -1.74 Combine like terms: 1.74 + -1.74 = 0.00 0.00 + 0.06x = 3.48 + -1.74 0.06x = 3.48 + -1.74 Combine like terms: 3.48 + -1.74 = 1.74 0.06x = 1.74 Divide each side by '0.06'. x = 29 Simplifying x = 29
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