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Simplifying 0.08(6) + 0.02x = 0.04(12 + x) Multiply 0.08 * 6 0.48 + 0.02x = 0.04(12 + x) 0.48 + 0.02x = (12 * 0.04 + x * 0.04) 0.48 + 0.02x = (0.48 + 0.04x) Add '-0.48' to each side of the equation. 0.48 + -0.48 + 0.02x = 0.48 + -0.48 + 0.04x Combine like terms: 0.48 + -0.48 = 0.00 0.00 + 0.02x = 0.48 + -0.48 + 0.04x 0.02x = 0.48 + -0.48 + 0.04x Combine like terms: 0.48 + -0.48 = 0.00 0.02x = 0.00 + 0.04x 0.02x = 0.04x Solving 0.02x = 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. 0.02x + -0.04x = 0.04x + -0.04x Combine like terms: 0.02x + -0.04x = -0.02x -0.02x = 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.02x = 0.00 Divide each side by '-0.02'. x = 0 Simplifying x = 0
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