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Simplifying 0.32(6) + 0.08x = 0.16(30 + x) Multiply 0.32 * 6 1.92 + 0.08x = 0.16(30 + x) 1.92 + 0.08x = (30 * 0.16 + x * 0.16) 1.92 + 0.08x = (4.8 + 0.16x) Solving 1.92 + 0.08x = 4.8 + 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. 1.92 + 0.08x + -0.16x = 4.8 + 0.16x + -0.16x Combine like terms: 0.08x + -0.16x = -0.08x 1.92 + -0.08x = 4.8 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 1.92 + -0.08x = 4.8 + 0.00 1.92 + -0.08x = 4.8 Add '-1.92' to each side of the equation. 1.92 + -1.92 + -0.08x = 4.8 + -1.92 Combine like terms: 1.92 + -1.92 = 0.00 0.00 + -0.08x = 4.8 + -1.92 -0.08x = 4.8 + -1.92 Combine like terms: 4.8 + -1.92 = 2.88 -0.08x = 2.88 Divide each side by '-0.08'. x = -36 Simplifying x = -36
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