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Simplifying 14.26 + 0.08(x + 3) = 15.01 + -0.14x Reorder the terms: 14.26 + 0.08(3 + x) = 15.01 + -0.14x 14.26 + (3 * 0.08 + x * 0.08) = 15.01 + -0.14x 14.26 + (0.24 + 0.08x) = 15.01 + -0.14x Combine like terms: 14.26 + 0.24 = 14.5 14.5 + 0.08x = 15.01 + -0.14x Solving 14.5 + 0.08x = 15.01 + -0.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.14x' to each side of the equation. 14.5 + 0.08x + 0.14x = 15.01 + -0.14x + 0.14x Combine like terms: 0.08x + 0.14x = 0.22x 14.5 + 0.22x = 15.01 + -0.14x + 0.14x Combine like terms: -0.14x + 0.14x = 0.00 14.5 + 0.22x = 15.01 + 0.00 14.5 + 0.22x = 15.01 Add '-14.5' to each side of the equation. 14.5 + -14.5 + 0.22x = 15.01 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + 0.22x = 15.01 + -14.5 0.22x = 15.01 + -14.5 Combine like terms: 15.01 + -14.5 = 0.51 0.22x = 0.51 Divide each side by '0.22'. x = 2.318181818 Simplifying x = 2.318181818
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