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Simplifying 5(x + -1) = 3(x + 6) Reorder the terms: 5(-1 + x) = 3(x + 6) (-1 * 5 + x * 5) = 3(x + 6) (-5 + 5x) = 3(x + 6) Reorder the terms: -5 + 5x = 3(6 + x) -5 + 5x = (6 * 3 + x * 3) -5 + 5x = (18 + 3x) Solving -5 + 5x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 5x + -3x = 18 + 3x + -3x Combine like terms: 5x + -3x = 2x -5 + 2x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2x = 18 + 0 -5 + 2x = 18 Add '5' to each side of the equation. -5 + 5 + 2x = 18 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 18 + 5 2x = 18 + 5 Combine like terms: 18 + 5 = 23 2x = 23 Divide each side by '2'. x = 11.5 Simplifying x = 11.5
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