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Simplifying 12.54 + 0.08(x + 3) = 13.04 + -0.09 Reorder the terms: 12.54 + 0.08(3 + x) = 13.04 + -0.09 12.54 + (3 * 0.08 + x * 0.08) = 13.04 + -0.09 12.54 + (0.24 + 0.08x) = 13.04 + -0.09 Combine like terms: 12.54 + 0.24 = 12.78 12.78 + 0.08x = 13.04 + -0.09 Combine like terms: 13.04 + -0.09 = 12.95 12.78 + 0.08x = 12.95 Solving 12.78 + 0.08x = 12.95 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.78' to each side of the equation. 12.78 + -12.78 + 0.08x = 12.95 + -12.78 Combine like terms: 12.78 + -12.78 = 0.00 0.00 + 0.08x = 12.95 + -12.78 0.08x = 12.95 + -12.78 Combine like terms: 12.95 + -12.78 = 0.17 0.08x = 0.17 Divide each side by '0.08'. x = 2.125 Simplifying x = 2.125
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