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Simplifying 0.16 * 12 + 0.4x = 0.32(x + 12) Multiply 0.16 * 12 1.92 + 0.4x = 0.32(x + 12) Reorder the terms: 1.92 + 0.4x = 0.32(12 + x) 1.92 + 0.4x = (12 * 0.32 + x * 0.32) 1.92 + 0.4x = (3.84 + 0.32x) Solving 1.92 + 0.4x = 3.84 + 0.32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.32x' to each side of the equation. 1.92 + 0.4x + -0.32x = 3.84 + 0.32x + -0.32x Combine like terms: 0.4x + -0.32x = 0.08x 1.92 + 0.08x = 3.84 + 0.32x + -0.32x Combine like terms: 0.32x + -0.32x = 0.00 1.92 + 0.08x = 3.84 + 0.00 1.92 + 0.08x = 3.84 Add '-1.92' to each side of the equation. 1.92 + -1.92 + 0.08x = 3.84 + -1.92 Combine like terms: 1.92 + -1.92 = 0.00 0.00 + 0.08x = 3.84 + -1.92 0.08x = 3.84 + -1.92 Combine like terms: 3.84 + -1.92 = 1.92 0.08x = 1.92 Divide each side by '0.08'. x = 24 Simplifying x = 24
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