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Simplifying ax + 7x + bx + -3b = 3x + 11 Reorder the terms: ax + -3b + bx + 7x = 3x + 11 Reorder the terms: ax + -3b + bx + 7x = 11 + 3x Solving ax + -3b + bx + 7x = 11 + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. ax + -3b + bx + 3b + 7x = 11 + 3b + 3x Reorder the terms: ax + -3b + 3b + bx + 7x = 11 + 3b + 3x Combine like terms: -3b + 3b = 0 ax + 0 + bx + 7x = 11 + 3b + 3x ax + bx + 7x = 11 + 3b + 3x Add '-1bx' to each side of the equation. ax + bx + -1bx + 7x = 11 + 3b + -1bx + 3x Combine like terms: bx + -1bx = 0 ax + 0 + 7x = 11 + 3b + -1bx + 3x ax + 7x = 11 + 3b + -1bx + 3x Add '-7x' to each side of the equation. ax + 7x + -7x = 11 + 3b + -1bx + 3x + -7x Combine like terms: 7x + -7x = 0 ax + 0 = 11 + 3b + -1bx + 3x + -7x ax = 11 + 3b + -1bx + 3x + -7x Combine like terms: 3x + -7x = -4x ax = 11 + 3b + -1bx + -4x Divide each side by 'x'. a = 11x-1 + 3bx-1 + -1b + -4 Simplifying a = 11x-1 + 3bx-1 + -1b + -4 Reorder the terms: a = -4 + -1b + 3bx-1 + 11x-1
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