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Simplifying 12.42 + 0.09(x + 3) = 12.92 + -0.07x Reorder the terms: 12.42 + 0.09(3 + x) = 12.92 + -0.07x 12.42 + (3 * 0.09 + x * 0.09) = 12.92 + -0.07x 12.42 + (0.27 + 0.09x) = 12.92 + -0.07x Combine like terms: 12.42 + 0.27 = 12.69 12.69 + 0.09x = 12.92 + -0.07x Solving 12.69 + 0.09x = 12.92 + -0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.07x' to each side of the equation. 12.69 + 0.09x + 0.07x = 12.92 + -0.07x + 0.07x Combine like terms: 0.09x + 0.07x = 0.16x 12.69 + 0.16x = 12.92 + -0.07x + 0.07x Combine like terms: -0.07x + 0.07x = 0.00 12.69 + 0.16x = 12.92 + 0.00 12.69 + 0.16x = 12.92 Add '-12.69' to each side of the equation. 12.69 + -12.69 + 0.16x = 12.92 + -12.69 Combine like terms: 12.69 + -12.69 = 0.00 0.00 + 0.16x = 12.92 + -12.69 0.16x = 12.92 + -12.69 Combine like terms: 12.92 + -12.69 = 0.23 0.16x = 0.23 Divide each side by '0.16'. x = 1.4375 Simplifying x = 1.4375
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