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Simplifying 5x + -6 + -7(x + 1) = 3x + 2 Reorder the terms: 5x + -6 + -7(1 + x) = 3x + 2 5x + -6 + (1 * -7 + x * -7) = 3x + 2 5x + -6 + (-7 + -7x) = 3x + 2 Reorder the terms: -6 + -7 + 5x + -7x = 3x + 2 Combine like terms: -6 + -7 = -13 -13 + 5x + -7x = 3x + 2 Combine like terms: 5x + -7x = -2x -13 + -2x = 3x + 2 Reorder the terms: -13 + -2x = 2 + 3x Solving -13 + -2x = 2 + 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. -13 + -2x + -3x = 2 + 3x + -3x Combine like terms: -2x + -3x = -5x -13 + -5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + -5x = 2 + 0 -13 + -5x = 2 Add '13' to each side of the equation. -13 + 13 + -5x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 2 + 13 -5x = 2 + 13 Combine like terms: 2 + 13 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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