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Simplifying 7(x + -3) + -2 = -3(x + 1) Reorder the terms: 7(-3 + x) + -2 = -3(x + 1) (-3 * 7 + x * 7) + -2 = -3(x + 1) (-21 + 7x) + -2 = -3(x + 1) Reorder the terms: -21 + -2 + 7x = -3(x + 1) Combine like terms: -21 + -2 = -23 -23 + 7x = -3(x + 1) Reorder the terms: -23 + 7x = -3(1 + x) -23 + 7x = (1 * -3 + x * -3) -23 + 7x = (-3 + -3x) Solving -23 + 7x = -3 + -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. -23 + 7x + 3x = -3 + -3x + 3x Combine like terms: 7x + 3x = 10x -23 + 10x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -23 + 10x = -3 + 0 -23 + 10x = -3 Add '23' to each side of the equation. -23 + 23 + 10x = -3 + 23 Combine like terms: -23 + 23 = 0 0 + 10x = -3 + 23 10x = -3 + 23 Combine like terms: -3 + 23 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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