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