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Simplifying 13(x + -1) = 4x + 32 Reorder the terms: 13(-1 + x) = 4x + 32 (-1 * 13 + x * 13) = 4x + 32 (-13 + 13x) = 4x + 32 Reorder the terms: -13 + 13x = 32 + 4x Solving -13 + 13x = 32 + 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. -13 + 13x + -4x = 32 + 4x + -4x Combine like terms: 13x + -4x = 9x -13 + 9x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 9x = 32 + 0 -13 + 9x = 32 Add '13' to each side of the equation. -13 + 13 + 9x = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 32 + 13 9x = 32 + 13 Combine like terms: 32 + 13 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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