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Simplifying 5(x + -1) = 3(x + 2) + -7 Reorder the terms: 5(-1 + x) = 3(x + 2) + -7 (-1 * 5 + x * 5) = 3(x + 2) + -7 (-5 + 5x) = 3(x + 2) + -7 Reorder the terms: -5 + 5x = 3(2 + x) + -7 -5 + 5x = (2 * 3 + x * 3) + -7 -5 + 5x = (6 + 3x) + -7 Reorder the terms: -5 + 5x = 6 + -7 + 3x Combine like terms: 6 + -7 = -1 -5 + 5x = -1 + 3x Solving -5 + 5x = -1 + 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 = -1 + 3x + -3x Combine like terms: 5x + -3x = 2x -5 + 2x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2x = -1 + 0 -5 + 2x = -1 Add '5' to each side of the equation. -5 + 5 + 2x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -1 + 5 2x = -1 + 5 Combine like terms: -1 + 5 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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