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