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Simplifying (10x + 11) = (15x + -54) Reorder the terms: (11 + 10x) = (15x + -54) Remove parenthesis around (11 + 10x) 11 + 10x = (15x + -54) Reorder the terms: 11 + 10x = (-54 + 15x) Remove parenthesis around (-54 + 15x) 11 + 10x = -54 + 15x Solving 11 + 10x = -54 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 11 + 10x + -15x = -54 + 15x + -15x Combine like terms: 10x + -15x = -5x 11 + -5x = -54 + 15x + -15x Combine like terms: 15x + -15x = 0 11 + -5x = -54 + 0 11 + -5x = -54 Add '-11' to each side of the equation. 11 + -11 + -5x = -54 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = -54 + -11 -5x = -54 + -11 Combine like terms: -54 + -11 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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