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