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Simplifying 2x + -6 + 5(x + 1) = -3x + -21 Reorder the terms: 2x + -6 + 5(1 + x) = -3x + -21 2x + -6 + (1 * 5 + x * 5) = -3x + -21 2x + -6 + (5 + 5x) = -3x + -21 Reorder the terms: -6 + 5 + 2x + 5x = -3x + -21 Combine like terms: -6 + 5 = -1 -1 + 2x + 5x = -3x + -21 Combine like terms: 2x + 5x = 7x -1 + 7x = -3x + -21 Reorder the terms: -1 + 7x = -21 + -3x Solving -1 + 7x = -21 + -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 + 7x + 3x = -21 + -3x + 3x Combine like terms: 7x + 3x = 10x -1 + 10x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 10x = -21 + 0 -1 + 10x = -21 Add '1' to each side of the equation. -1 + 1 + 10x = -21 + 1 Combine like terms: -1 + 1 = 0 0 + 10x = -21 + 1 10x = -21 + 1 Combine like terms: -21 + 1 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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