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Simplifying 2x + -6(4x + 9) = 21x + 3(6 + -1x) + 2x + -72 Reorder the terms: 2x + -6(9 + 4x) = 21x + 3(6 + -1x) + 2x + -72 2x + (9 * -6 + 4x * -6) = 21x + 3(6 + -1x) + 2x + -72 2x + (-54 + -24x) = 21x + 3(6 + -1x) + 2x + -72 Reorder the terms: -54 + 2x + -24x = 21x + 3(6 + -1x) + 2x + -72 Combine like terms: 2x + -24x = -22x -54 + -22x = 21x + 3(6 + -1x) + 2x + -72 -54 + -22x = 21x + (6 * 3 + -1x * 3) + 2x + -72 -54 + -22x = 21x + (18 + -3x) + 2x + -72 Reorder the terms: -54 + -22x = 18 + -72 + 21x + -3x + 2x Combine like terms: 18 + -72 = -54 -54 + -22x = -54 + 21x + -3x + 2x Combine like terms: 21x + -3x = 18x -54 + -22x = -54 + 18x + 2x Combine like terms: 18x + 2x = 20x -54 + -22x = -54 + 20x Add '54' to each side of the equation. -54 + 54 + -22x = -54 + 54 + 20x Combine like terms: -54 + 54 = 0 0 + -22x = -54 + 54 + 20x -22x = -54 + 54 + 20x Combine like terms: -54 + 54 = 0 -22x = 0 + 20x -22x = 20x Solving -22x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -22x + -20x = 20x + -20x Combine like terms: -22x + -20x = -42x -42x = 20x + -20x Combine like terms: 20x + -20x = 0 -42x = 0 Divide each side by '-42'. x = 0 Simplifying x = 0
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