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Simplifying 0.32(12) + 0.08x = 0.16(36 + x) Multiply 0.32 * 12 3.84 + 0.08x = 0.16(36 + x) 3.84 + 0.08x = (36 * 0.16 + x * 0.16) 3.84 + 0.08x = (5.76 + 0.16x) Solving 3.84 + 0.08x = 5.76 + 0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16x' to each side of the equation. 3.84 + 0.08x + -0.16x = 5.76 + 0.16x + -0.16x Combine like terms: 0.08x + -0.16x = -0.08x 3.84 + -0.08x = 5.76 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 3.84 + -0.08x = 5.76 + 0.00 3.84 + -0.08x = 5.76 Add '-3.84' to each side of the equation. 3.84 + -3.84 + -0.08x = 5.76 + -3.84 Combine like terms: 3.84 + -3.84 = 0.00 0.00 + -0.08x = 5.76 + -3.84 -0.08x = 5.76 + -3.84 Combine like terms: 5.76 + -3.84 = 1.92 -0.08x = 1.92 Divide each side by '-0.08'. x = -24 Simplifying x = -24
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