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Simplifying 15.93 + 0.09(x + 3) = 16.43 + -0.13x Reorder the terms: 15.93 + 0.09(3 + x) = 16.43 + -0.13x 15.93 + (3 * 0.09 + x * 0.09) = 16.43 + -0.13x 15.93 + (0.27 + 0.09x) = 16.43 + -0.13x Combine like terms: 15.93 + 0.27 = 16.2 16.2 + 0.09x = 16.43 + -0.13x Solving 16.2 + 0.09x = 16.43 + -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. 16.2 + 0.09x + 0.13x = 16.43 + -0.13x + 0.13x Combine like terms: 0.09x + 0.13x = 0.22x 16.2 + 0.22x = 16.43 + -0.13x + 0.13x Combine like terms: -0.13x + 0.13x = 0.00 16.2 + 0.22x = 16.43 + 0.00 16.2 + 0.22x = 16.43 Add '-16.2' to each side of the equation. 16.2 + -16.2 + 0.22x = 16.43 + -16.2 Combine like terms: 16.2 + -16.2 = 0.0 0.0 + 0.22x = 16.43 + -16.2 0.22x = 16.43 + -16.2 Combine like terms: 16.43 + -16.2 = 0.23 0.22x = 0.23 Divide each side by '0.22'. x = 1.045454545 Simplifying x = 1.045454545
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