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Simplifying 0.16(6) + 0.04 = 0.08(30 + x) Multiply 0.16 * 6 0.96 + 0.04 = 0.08(30 + x) Combine like terms: 0.96 + 0.04 = 1 1 = 0.08(30 + x) 1 = (30 * 0.08 + x * 0.08) 1 = (2.4 + 0.08x) Solving 1 = 2.4 + 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 + -0.08x = 2.4 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 1 + -0.08x = 2.4 + 0.00 1 + -0.08x = 2.4 Add '-1' to each side of the equation. 1 + -1 + -0.08x = 2.4 + -1 Combine like terms: 1 + -1 = 0 0 + -0.08x = 2.4 + -1 -0.08x = 2.4 + -1 Combine like terms: 2.4 + -1 = 1.4 -0.08x = 1.4 Divide each side by '-0.08'. x = -17.5 Simplifying x = -17.5
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