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Simplifying 7(x + -3) + -2 = 2(x + 1) Reorder the terms: 7(-3 + x) + -2 = 2(x + 1) (-3 * 7 + x * 7) + -2 = 2(x + 1) (-21 + 7x) + -2 = 2(x + 1) Reorder the terms: -21 + -2 + 7x = 2(x + 1) Combine like terms: -21 + -2 = -23 -23 + 7x = 2(x + 1) Reorder the terms: -23 + 7x = 2(1 + x) -23 + 7x = (1 * 2 + x * 2) -23 + 7x = (2 + 2x) Solving -23 + 7x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -23 + 7x + -2x = 2 + 2x + -2x Combine like terms: 7x + -2x = 5x -23 + 5x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + 5x = 2 + 0 -23 + 5x = 2 Add '23' to each side of the equation. -23 + 23 + 5x = 2 + 23 Combine like terms: -23 + 23 = 0 0 + 5x = 2 + 23 5x = 2 + 23 Combine like terms: 2 + 23 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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