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Simplifying 3(x2 + -1ax) + 4x = 3x2 + -2x Reorder the terms: 3(-1ax + x2) + 4x = 3x2 + -2x (-1ax * 3 + x2 * 3) + 4x = 3x2 + -2x (-3ax + 3x2) + 4x = 3x2 + -2x Reorder the terms: -3ax + 4x + 3x2 = 3x2 + -2x Reorder the terms: -3ax + 4x + 3x2 = -2x + 3x2 Add '-3x2' to each side of the equation. -3ax + 4x + 3x2 + -3x2 = -2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3ax + 4x + 0 = -2x + 3x2 + -3x2 -3ax + 4x = -2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3ax + 4x = -2x + 0 -3ax + 4x = -2x Solving -3ax + 4x = -2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4x' to each side of the equation. -3ax + 4x + -4x = -2x + -4x Combine like terms: 4x + -4x = 0 -3ax + 0 = -2x + -4x -3ax = -2x + -4x Combine like terms: -2x + -4x = -6x -3ax = -6x Divide each side by '-3x'. a = 2 Simplifying a = 2
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