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Simplifying 0.42(12) + 0.07x = 0.21(36 + x) Multiply 0.42 * 12 5.04 + 0.07x = 0.21(36 + x) 5.04 + 0.07x = (36 * 0.21 + x * 0.21) 5.04 + 0.07x = (7.56 + 0.21x) Solving 5.04 + 0.07x = 7.56 + 0.21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.21x' to each side of the equation. 5.04 + 0.07x + -0.21x = 7.56 + 0.21x + -0.21x Combine like terms: 0.07x + -0.21x = -0.14x 5.04 + -0.14x = 7.56 + 0.21x + -0.21x Combine like terms: 0.21x + -0.21x = 0.00 5.04 + -0.14x = 7.56 + 0.00 5.04 + -0.14x = 7.56 Add '-5.04' to each side of the equation. 5.04 + -5.04 + -0.14x = 7.56 + -5.04 Combine like terms: 5.04 + -5.04 = 0.00 0.00 + -0.14x = 7.56 + -5.04 -0.14x = 7.56 + -5.04 Combine like terms: 7.56 + -5.04 = 2.52 -0.14x = 2.52 Divide each side by '-0.14'. x = -18 Simplifying x = -18
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