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Simplifying (3a + 7) * x + 2 = 10x + -3b + 4 Reorder the terms: (7 + 3a) * x + 2 = 10x + -3b + 4 Reorder the terms for easier multiplication: x(7 + 3a) + 2 = 10x + -3b + 4 (7 * x + 3a * x) + 2 = 10x + -3b + 4 Reorder the terms: (3ax + 7x) + 2 = 10x + -3b + 4 (3ax + 7x) + 2 = 10x + -3b + 4 Reorder the terms: 2 + 3ax + 7x = 10x + -3b + 4 Reorder the terms: 2 + 3ax + 7x = 4 + -3b + 10x Solving 2 + 3ax + 7x = 4 + -3b + 10x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3ax + -2 + 7x = 4 + -3b + -2 + 10x Reorder the terms: 2 + -2 + 3ax + 7x = 4 + -3b + -2 + 10x Combine like terms: 2 + -2 = 0 0 + 3ax + 7x = 4 + -3b + -2 + 10x 3ax + 7x = 4 + -3b + -2 + 10x Reorder the terms: 3ax + 7x = 4 + -2 + -3b + 10x Combine like terms: 4 + -2 = 2 3ax + 7x = 2 + -3b + 10x Add '-7x' to each side of the equation. 3ax + 7x + -7x = 2 + -3b + 10x + -7x Combine like terms: 7x + -7x = 0 3ax + 0 = 2 + -3b + 10x + -7x 3ax = 2 + -3b + 10x + -7x Combine like terms: 10x + -7x = 3x 3ax = 2 + -3b + 3x Divide each side by '3x'. a = 0.6666666667x-1 + -1bx-1 + 1 Simplifying a = 0.6666666667x-1 + -1bx-1 + 1 Reorder the terms: a = 1 + -1bx-1 + 0.6666666667x-1
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