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Simplifying 0.04(46) + 0.16x = 0.08(x + 46) Multiply 0.04 * 46 1.84 + 0.16x = 0.08(x + 46) Reorder the terms: 1.84 + 0.16x = 0.08(46 + x) 1.84 + 0.16x = (46 * 0.08 + x * 0.08) 1.84 + 0.16x = (3.68 + 0.08x) Solving 1.84 + 0.16x = 3.68 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 1.84 + 0.16x + -0.08x = 3.68 + 0.08x + -0.08x Combine like terms: 0.16x + -0.08x = 0.08x 1.84 + 0.08x = 3.68 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 1.84 + 0.08x = 3.68 + 0.00 1.84 + 0.08x = 3.68 Add '-1.84' to each side of the equation. 1.84 + -1.84 + 0.08x = 3.68 + -1.84 Combine like terms: 1.84 + -1.84 = 0.00 0.00 + 0.08x = 3.68 + -1.84 0.08x = 3.68 + -1.84 Combine like terms: 3.68 + -1.84 = 1.84 0.08x = 1.84 Divide each side by '0.08'. x = 23 Simplifying x = 23
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