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Simplifying -54 + -11x = -13(1 + 4x) -54 + -11x = (1 * -13 + 4x * -13) -54 + -11x = (-13 + -52x) Solving -54 + -11x = -13 + -52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52x' to each side of the equation. -54 + -11x + 52x = -13 + -52x + 52x Combine like terms: -11x + 52x = 41x -54 + 41x = -13 + -52x + 52x Combine like terms: -52x + 52x = 0 -54 + 41x = -13 + 0 -54 + 41x = -13 Add '54' to each side of the equation. -54 + 54 + 41x = -13 + 54 Combine like terms: -54 + 54 = 0 0 + 41x = -13 + 54 41x = -13 + 54 Combine like terms: -13 + 54 = 41 41x = 41 Divide each side by '41'. x = 1 Simplifying x = 1
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