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Simplifying 0.63(6) + 0.07x = 0.21(30 + x) Multiply 0.63 * 6 3.78 + 0.07x = 0.21(30 + x) 3.78 + 0.07x = (30 * 0.21 + x * 0.21) 3.78 + 0.07x = (6.3 + 0.21x) Solving 3.78 + 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. 3.78 + 0.07x + -0.21x = 6.3 + 0.21x + -0.21x Combine like terms: 0.07x + -0.21x = -0.14x 3.78 + -0.14x = 6.3 + 0.21x + -0.21x Combine like terms: 0.21x + -0.21x = 0.00 3.78 + -0.14x = 6.3 + 0.00 3.78 + -0.14x = 6.3 Add '-3.78' to each side of the equation. 3.78 + -3.78 + -0.14x = 6.3 + -3.78 Combine like terms: 3.78 + -3.78 = 0.00 0.00 + -0.14x = 6.3 + -3.78 -0.14x = 6.3 + -3.78 Combine like terms: 6.3 + -3.78 = 2.52 -0.14x = 2.52 Divide each side by '-0.14'. x = -18 Simplifying x = -18
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