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Simplifying 5x + -1(9 + -2x) * 6 = 5(5x + 12) + -4x Reorder the terms for easier multiplication: 5x + -1 * 6(9 + -2x) = 5(5x + 12) + -4x Multiply -1 * 6 5x + -6(9 + -2x) = 5(5x + 12) + -4x 5x + (9 * -6 + -2x * -6) = 5(5x + 12) + -4x 5x + (-54 + 12x) = 5(5x + 12) + -4x Reorder the terms: -54 + 5x + 12x = 5(5x + 12) + -4x Combine like terms: 5x + 12x = 17x -54 + 17x = 5(5x + 12) + -4x Reorder the terms: -54 + 17x = 5(12 + 5x) + -4x -54 + 17x = (12 * 5 + 5x * 5) + -4x -54 + 17x = (60 + 25x) + -4x Combine like terms: 25x + -4x = 21x -54 + 17x = 60 + 21x Solving -54 + 17x = 60 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -54 + 17x + -21x = 60 + 21x + -21x Combine like terms: 17x + -21x = -4x -54 + -4x = 60 + 21x + -21x Combine like terms: 21x + -21x = 0 -54 + -4x = 60 + 0 -54 + -4x = 60 Add '54' to each side of the equation. -54 + 54 + -4x = 60 + 54 Combine like terms: -54 + 54 = 0 0 + -4x = 60 + 54 -4x = 60 + 54 Combine like terms: 60 + 54 = 114 -4x = 114 Divide each side by '-4'. x = -28.5 Simplifying x = -28.5
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