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Simplifying 5(x + -1) = -7(x + 4) + 41 Reorder the terms: 5(-1 + x) = -7(x + 4) + 41 (-1 * 5 + x * 5) = -7(x + 4) + 41 (-5 + 5x) = -7(x + 4) + 41 Reorder the terms: -5 + 5x = -7(4 + x) + 41 -5 + 5x = (4 * -7 + x * -7) + 41 -5 + 5x = (-28 + -7x) + 41 Reorder the terms: -5 + 5x = -28 + 41 + -7x Combine like terms: -28 + 41 = 13 -5 + 5x = 13 + -7x Solving -5 + 5x = 13 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + 5x + 7x = 13 + -7x + 7x Combine like terms: 5x + 7x = 12x -5 + 12x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 12x = 13 + 0 -5 + 12x = 13 Add '5' to each side of the equation. -5 + 5 + 12x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 13 + 5 12x = 13 + 5 Combine like terms: 13 + 5 = 18 12x = 18 Divide each side by '12'. x = 1.5 Simplifying x = 1.5
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