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Simplifying 0.42(6) + 0.07x = 0.21(30 + x) Multiply 0.42 * 6 2.52 + 0.07x = 0.21(30 + x) 2.52 + 0.07x = (30 * 0.21 + x * 0.21) 2.52 + 0.07x = (6.3 + 0.21x) Solving 2.52 + 0.07x = 6.3 + 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. 2.52 + 0.07x + -0.21x = 6.3 + 0.21x + -0.21x Combine like terms: 0.07x + -0.21x = -0.14x 2.52 + -0.14x = 6.3 + 0.21x + -0.21x Combine like terms: 0.21x + -0.21x = 0.00 2.52 + -0.14x = 6.3 + 0.00 2.52 + -0.14x = 6.3 Add '-2.52' to each side of the equation. 2.52 + -2.52 + -0.14x = 6.3 + -2.52 Combine like terms: 2.52 + -2.52 = 0.00 0.00 + -0.14x = 6.3 + -2.52 -0.14x = 6.3 + -2.52 Combine like terms: 6.3 + -2.52 = 3.78 -0.14x = 3.78 Divide each side by '-0.14'. x = -27 Simplifying x = -27
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