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Simplifying 13x + 45 = 4x + -54 Reorder the terms: 45 + 13x = 4x + -54 Reorder the terms: 45 + 13x = -54 + 4x Solving 45 + 13x = -54 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 45 + 13x + -4x = -54 + 4x + -4x Combine like terms: 13x + -4x = 9x 45 + 9x = -54 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + 9x = -54 + 0 45 + 9x = -54 Add '-45' to each side of the equation. 45 + -45 + 9x = -54 + -45 Combine like terms: 45 + -45 = 0 0 + 9x = -54 + -45 9x = -54 + -45 Combine like terms: -54 + -45 = -99 9x = -99 Divide each side by '9'. x = -11 Simplifying x = -11
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