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Simplifying 13.62 + 0.13(x + 3) = 14.37 + 0.09x Reorder the terms: 13.62 + 0.13(3 + x) = 14.37 + 0.09x 13.62 + (3 * 0.13 + x * 0.13) = 14.37 + 0.09x 13.62 + (0.39 + 0.13x) = 14.37 + 0.09x Combine like terms: 13.62 + 0.39 = 14.01 14.01 + 0.13x = 14.37 + 0.09x Solving 14.01 + 0.13x = 14.37 + 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. 14.01 + 0.13x + -0.09x = 14.37 + 0.09x + -0.09x Combine like terms: 0.13x + -0.09x = 0.04x 14.01 + 0.04x = 14.37 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 14.01 + 0.04x = 14.37 + 0.00 14.01 + 0.04x = 14.37 Add '-14.01' to each side of the equation. 14.01 + -14.01 + 0.04x = 14.37 + -14.01 Combine like terms: 14.01 + -14.01 = 0.00 0.00 + 0.04x = 14.37 + -14.01 0.04x = 14.37 + -14.01 Combine like terms: 14.37 + -14.01 = 0.36 0.04x = 0.36 Divide each side by '0.04'. x = 9 Simplifying x = 9
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