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Simplifying 3(2x + -4) + -4x + 7 = 9 Reorder the terms: 3(-4 + 2x) + -4x + 7 = 9 (-4 * 3 + 2x * 3) + -4x + 7 = 9 (-12 + 6x) + -4x + 7 = 9 Reorder the terms: -12 + 7 + 6x + -4x = 9 Combine like terms: -12 + 7 = -5 -5 + 6x + -4x = 9 Combine like terms: 6x + -4x = 2x -5 + 2x = 9 Solving -5 + 2x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 9 + 5 2x = 9 + 5 Combine like terms: 9 + 5 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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