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Simplifying -2x + 54 = 11x + 9 + -4x Reorder the terms: 54 + -2x = 11x + 9 + -4x Reorder the terms: 54 + -2x = 9 + 11x + -4x Combine like terms: 11x + -4x = 7x 54 + -2x = 9 + 7x Solving 54 + -2x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 54 + -2x + -7x = 9 + 7x + -7x Combine like terms: -2x + -7x = -9x 54 + -9x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 54 + -9x = 9 + 0 54 + -9x = 9 Add '-54' to each side of the equation. 54 + -54 + -9x = 9 + -54 Combine like terms: 54 + -54 = 0 0 + -9x = 9 + -54 -9x = 9 + -54 Combine like terms: 9 + -54 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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