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Simplifying 3(x + 1) + -7 = 2 + -5(x + -2) Reorder the terms: 3(1 + x) + -7 = 2 + -5(x + -2) (1 * 3 + x * 3) + -7 = 2 + -5(x + -2) (3 + 3x) + -7 = 2 + -5(x + -2) Reorder the terms: 3 + -7 + 3x = 2 + -5(x + -2) Combine like terms: 3 + -7 = -4 -4 + 3x = 2 + -5(x + -2) Reorder the terms: -4 + 3x = 2 + -5(-2 + x) -4 + 3x = 2 + (-2 * -5 + x * -5) -4 + 3x = 2 + (10 + -5x) Combine like terms: 2 + 10 = 12 -4 + 3x = 12 + -5x Solving -4 + 3x = 12 + -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 = 12 + -5x + 5x Combine like terms: 3x + 5x = 8x -4 + 8x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 8x = 12 + 0 -4 + 8x = 12 Add '4' to each side of the equation. -4 + 4 + 8x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 12 + 4 8x = 12 + 4 Combine like terms: 12 + 4 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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