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Simplifying 0.08(12) + 0.02 = 0.04(6 + x) Multiply 0.08 * 12 0.96 + 0.02 = 0.04(6 + x) Combine like terms: 0.96 + 0.02 = 0.98 0.98 = 0.04(6 + x) 0.98 = (6 * 0.04 + x * 0.04) 0.98 = (0.24 + 0.04x) Solving 0.98 = 0.24 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. 0.98 + -0.04x = 0.24 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 0.98 + -0.04x = 0.24 + 0.00 0.98 + -0.04x = 0.24 Add '-0.98' to each side of the equation. 0.98 + -0.98 + -0.04x = 0.24 + -0.98 Combine like terms: 0.98 + -0.98 = 0.00 0.00 + -0.04x = 0.24 + -0.98 -0.04x = 0.24 + -0.98 Combine like terms: 0.24 + -0.98 = -0.74 -0.04x = -0.74 Divide each side by '-0.04'. x = 18.5 Simplifying x = 18.5
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