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Simplifying 0.03(42) + 0.12x = 0.06(x + 42) Multiply 0.03 * 42 1.26 + 0.12x = 0.06(x + 42) Reorder the terms: 1.26 + 0.12x = 0.06(42 + x) 1.26 + 0.12x = (42 * 0.06 + x * 0.06) 1.26 + 0.12x = (2.52 + 0.06x) Solving 1.26 + 0.12x = 2.52 + 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. 1.26 + 0.12x + -0.06x = 2.52 + 0.06x + -0.06x Combine like terms: 0.12x + -0.06x = 0.06x 1.26 + 0.06x = 2.52 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 1.26 + 0.06x = 2.52 + 0.00 1.26 + 0.06x = 2.52 Add '-1.26' to each side of the equation. 1.26 + -1.26 + 0.06x = 2.52 + -1.26 Combine like terms: 1.26 + -1.26 = 0.00 0.00 + 0.06x = 2.52 + -1.26 0.06x = 2.52 + -1.26 Combine like terms: 2.52 + -1.26 = 1.26 0.06x = 1.26 Divide each side by '0.06'. x = 21 Simplifying x = 21
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