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Simplifying Ax + 3x + bx = -5x + 12x Reorder the terms: bx + 3x + xA = -5x + 12x Combine like terms: -5x + 12x = 7x bx + 3x + xA = 7x Solving bx + 3x + xA = 7x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3x' to each side of the equation. bx + 3x + -3x + xA = 7x + -3x Combine like terms: 3x + -3x = 0 bx + 0 + xA = 7x + -3x bx + xA = 7x + -3x Combine like terms: 7x + -3x = 4x bx + xA = 4x Add '-1xA' to each side of the equation. bx + xA + -1xA = 4x + -1xA Combine like terms: xA + -1xA = 0 bx + 0 = 4x + -1xA bx = 4x + -1xA Divide each side by 'x'. b = 4 + -1A Simplifying b = 4 + -1A
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