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Simplifying -54 + -2x = -5(x + 9) + 9 Reorder the terms: -54 + -2x = -5(9 + x) + 9 -54 + -2x = (9 * -5 + x * -5) + 9 -54 + -2x = (-45 + -5x) + 9 Reorder the terms: -54 + -2x = -45 + 9 + -5x Combine like terms: -45 + 9 = -36 -54 + -2x = -36 + -5x Solving -54 + -2x = -36 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -54 + -2x + 5x = -36 + -5x + 5x Combine like terms: -2x + 5x = 3x -54 + 3x = -36 + -5x + 5x Combine like terms: -5x + 5x = 0 -54 + 3x = -36 + 0 -54 + 3x = -36 Add '54' to each side of the equation. -54 + 54 + 3x = -36 + 54 Combine like terms: -54 + 54 = 0 0 + 3x = -36 + 54 3x = -36 + 54 Combine like terms: -36 + 54 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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