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Simplifying 0.04(42) + 0.16x = 0.08(x + 42) Multiply 0.04 * 42 1.68 + 0.16x = 0.08(x + 42) Reorder the terms: 1.68 + 0.16x = 0.08(42 + x) 1.68 + 0.16x = (42 * 0.08 + x * 0.08) 1.68 + 0.16x = (3.36 + 0.08x) Solving 1.68 + 0.16x = 3.36 + 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. 1.68 + 0.16x + -0.08x = 3.36 + 0.08x + -0.08x Combine like terms: 0.16x + -0.08x = 0.08x 1.68 + 0.08x = 3.36 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 1.68 + 0.08x = 3.36 + 0.00 1.68 + 0.08x = 3.36 Add '-1.68' to each side of the equation. 1.68 + -1.68 + 0.08x = 3.36 + -1.68 Combine like terms: 1.68 + -1.68 = 0.00 0.00 + 0.08x = 3.36 + -1.68 0.08x = 3.36 + -1.68 Combine like terms: 3.36 + -1.68 = 1.68 0.08x = 1.68 Divide each side by '0.08'. x = 21 Simplifying x = 21
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