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Simplifying 12.87 + 0.07(x + 3) = 13.37 + -0.16x Reorder the terms: 12.87 + 0.07(3 + x) = 13.37 + -0.16x 12.87 + (3 * 0.07 + x * 0.07) = 13.37 + -0.16x 12.87 + (0.21 + 0.07x) = 13.37 + -0.16x Combine like terms: 12.87 + 0.21 = 13.08 13.08 + 0.07x = 13.37 + -0.16x Solving 13.08 + 0.07x = 13.37 + -0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.16x' to each side of the equation. 13.08 + 0.07x + 0.16x = 13.37 + -0.16x + 0.16x Combine like terms: 0.07x + 0.16x = 0.23x 13.08 + 0.23x = 13.37 + -0.16x + 0.16x Combine like terms: -0.16x + 0.16x = 0.00 13.08 + 0.23x = 13.37 + 0.00 13.08 + 0.23x = 13.37 Add '-13.08' to each side of the equation. 13.08 + -13.08 + 0.23x = 13.37 + -13.08 Combine like terms: 13.08 + -13.08 = 0.00 0.00 + 0.23x = 13.37 + -13.08 0.23x = 13.37 + -13.08 Combine like terms: 13.37 + -13.08 = 0.29 0.23x = 0.29 Divide each side by '0.23'. x = 1.260869565 Simplifying x = 1.260869565
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