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Simplifying 7(x + -1) = -5(x + 3) + 41 Reorder the terms: 7(-1 + x) = -5(x + 3) + 41 (-1 * 7 + x * 7) = -5(x + 3) + 41 (-7 + 7x) = -5(x + 3) + 41 Reorder the terms: -7 + 7x = -5(3 + x) + 41 -7 + 7x = (3 * -5 + x * -5) + 41 -7 + 7x = (-15 + -5x) + 41 Reorder the terms: -7 + 7x = -15 + 41 + -5x Combine like terms: -15 + 41 = 26 -7 + 7x = 26 + -5x Solving -7 + 7x = 26 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7 + 7x + 5x = 26 + -5x + 5x Combine like terms: 7x + 5x = 12x -7 + 12x = 26 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 12x = 26 + 0 -7 + 12x = 26 Add '7' to each side of the equation. -7 + 7 + 12x = 26 + 7 Combine like terms: -7 + 7 = 0 0 + 12x = 26 + 7 12x = 26 + 7 Combine like terms: 26 + 7 = 33 12x = 33 Divide each side by '12'. x = 2.75 Simplifying x = 2.75
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