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Simplifying 12.99 + 0.08(x + 3) = 13.49 + -0.13x Reorder the terms: 12.99 + 0.08(3 + x) = 13.49 + -0.13x 12.99 + (3 * 0.08 + x * 0.08) = 13.49 + -0.13x 12.99 + (0.24 + 0.08x) = 13.49 + -0.13x Combine like terms: 12.99 + 0.24 = 13.23 13.23 + 0.08x = 13.49 + -0.13x Solving 13.23 + 0.08x = 13.49 + -0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.13x' to each side of the equation. 13.23 + 0.08x + 0.13x = 13.49 + -0.13x + 0.13x Combine like terms: 0.08x + 0.13x = 0.21x 13.23 + 0.21x = 13.49 + -0.13x + 0.13x Combine like terms: -0.13x + 0.13x = 0.00 13.23 + 0.21x = 13.49 + 0.00 13.23 + 0.21x = 13.49 Add '-13.23' to each side of the equation. 13.23 + -13.23 + 0.21x = 13.49 + -13.23 Combine like terms: 13.23 + -13.23 = 0.00 0.00 + 0.21x = 13.49 + -13.23 0.21x = 13.49 + -13.23 Combine like terms: 13.49 + -13.23 = 0.26 0.21x = 0.26 Divide each side by '0.21'. x = 1.238095238 Simplifying x = 1.238095238
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