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Simplifying 4x + -9(6 + -2x) = 2(5x + 7) 4x + (6 * -9 + -2x * -9) = 2(5x + 7) 4x + (-54 + 18x) = 2(5x + 7) Reorder the terms: -54 + 4x + 18x = 2(5x + 7) Combine like terms: 4x + 18x = 22x -54 + 22x = 2(5x + 7) Reorder the terms: -54 + 22x = 2(7 + 5x) -54 + 22x = (7 * 2 + 5x * 2) -54 + 22x = (14 + 10x) Solving -54 + 22x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -54 + 22x + -10x = 14 + 10x + -10x Combine like terms: 22x + -10x = 12x -54 + 12x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -54 + 12x = 14 + 0 -54 + 12x = 14 Add '54' to each side of the equation. -54 + 54 + 12x = 14 + 54 Combine like terms: -54 + 54 = 0 0 + 12x = 14 + 54 12x = 14 + 54 Combine like terms: 14 + 54 = 68 12x = 68 Divide each side by '12'. x = 5.666666667 Simplifying x = 5.666666667
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