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Simplifying 13.32 + 0.08(x + 3) = 14.07 + -0.12x Reorder the terms: 13.32 + 0.08(3 + x) = 14.07 + -0.12x 13.32 + (3 * 0.08 + x * 0.08) = 14.07 + -0.12x 13.32 + (0.24 + 0.08x) = 14.07 + -0.12x Combine like terms: 13.32 + 0.24 = 13.56 13.56 + 0.08x = 14.07 + -0.12x Solving 13.56 + 0.08x = 14.07 + -0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.12x' to each side of the equation. 13.56 + 0.08x + 0.12x = 14.07 + -0.12x + 0.12x Combine like terms: 0.08x + 0.12x = 0.2x 13.56 + 0.2x = 14.07 + -0.12x + 0.12x Combine like terms: -0.12x + 0.12x = 0.00 13.56 + 0.2x = 14.07 + 0.00 13.56 + 0.2x = 14.07 Add '-13.56' to each side of the equation. 13.56 + -13.56 + 0.2x = 14.07 + -13.56 Combine like terms: 13.56 + -13.56 = 0.00 0.00 + 0.2x = 14.07 + -13.56 0.2x = 14.07 + -13.56 Combine like terms: 14.07 + -13.56 = 0.51 0.2x = 0.51 Divide each side by '0.2'. x = 2.55 Simplifying x = 2.55
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