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Simplifying 4x + -9(6 + -2x) + -1(4x + -9) = 9 4x + (6 * -9 + -2x * -9) + -1(4x + -9) = 9 4x + (-54 + 18x) + -1(4x + -9) = 9 Reorder the terms: 4x + -54 + 18x + -1(-9 + 4x) = 9 4x + -54 + 18x + (-9 * -1 + 4x * -1) = 9 4x + -54 + 18x + (9 + -4x) = 9 Reorder the terms: -54 + 9 + 4x + 18x + -4x = 9 Combine like terms: -54 + 9 = -45 -45 + 4x + 18x + -4x = 9 Combine like terms: 4x + 18x = 22x -45 + 22x + -4x = 9 Combine like terms: 22x + -4x = 18x -45 + 18x = 9 Solving -45 + 18x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 18x = 9 + 45 Combine like terms: -45 + 45 = 0 0 + 18x = 9 + 45 18x = 9 + 45 Combine like terms: 9 + 45 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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