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Simplifying 12.21 + 0.08(x + 3) = 12.96 + 0.09x Reorder the terms: 12.21 + 0.08(3 + x) = 12.96 + 0.09x 12.21 + (3 * 0.08 + x * 0.08) = 12.96 + 0.09x 12.21 + (0.24 + 0.08x) = 12.96 + 0.09x Combine like terms: 12.21 + 0.24 = 12.45 12.45 + 0.08x = 12.96 + 0.09x Solving 12.45 + 0.08x = 12.96 + 0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09x' to each side of the equation. 12.45 + 0.08x + -0.09x = 12.96 + 0.09x + -0.09x Combine like terms: 0.08x + -0.09x = -0.01x 12.45 + -0.01x = 12.96 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 12.45 + -0.01x = 12.96 + 0.00 12.45 + -0.01x = 12.96 Add '-12.45' to each side of the equation. 12.45 + -12.45 + -0.01x = 12.96 + -12.45 Combine like terms: 12.45 + -12.45 = 0.00 0.00 + -0.01x = 12.96 + -12.45 -0.01x = 12.96 + -12.45 Combine like terms: 12.96 + -12.45 = 0.51 -0.01x = 0.51 Divide each side by '-0.01'. x = -51 Simplifying x = -51
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