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Simplifying 13.03 + 0.09(x + 3) = 13.78 + -0.14 Reorder the terms: 13.03 + 0.09(3 + x) = 13.78 + -0.14 13.03 + (3 * 0.09 + x * 0.09) = 13.78 + -0.14 13.03 + (0.27 + 0.09x) = 13.78 + -0.14 Combine like terms: 13.03 + 0.27 = 13.3 13.3 + 0.09x = 13.78 + -0.14 Combine like terms: 13.78 + -0.14 = 13.64 13.3 + 0.09x = 13.64 Solving 13.3 + 0.09x = 13.64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.3' to each side of the equation. 13.3 + -13.3 + 0.09x = 13.64 + -13.3 Combine like terms: 13.3 + -13.3 = 0.0 0.0 + 0.09x = 13.64 + -13.3 0.09x = 13.64 + -13.3 Combine like terms: 13.64 + -13.3 = 0.34 0.09x = 0.34 Divide each side by '0.09'. x = 3.777777778 Simplifying x = 3.777777778
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