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