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Simplifying 8(6) + 0.02x = 0.04(6 + x) Multiply 8 * 6 48 + 0.02x = 0.04(6 + x) 48 + 0.02x = (6 * 0.04 + x * 0.04) 48 + 0.02x = (0.24 + 0.04x) Solving 48 + 0.02x = 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. 48 + 0.02x + -0.04x = 0.24 + 0.04x + -0.04x Combine like terms: 0.02x + -0.04x = -0.02x 48 + -0.02x = 0.24 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 48 + -0.02x = 0.24 + 0.00 48 + -0.02x = 0.24 Add '-48' to each side of the equation. 48 + -48 + -0.02x = 0.24 + -48 Combine like terms: 48 + -48 = 0 0 + -0.02x = 0.24 + -48 -0.02x = 0.24 + -48 Combine like terms: 0.24 + -48 = -47.76 -0.02x = -47.76 Divide each side by '-0.02'. x = 2388 Simplifying x = 2388
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