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Simplifying 3x + -7 = 2(x + 1) Reorder the terms: -7 + 3x = 2(x + 1) Reorder the terms: -7 + 3x = 2(1 + x) -7 + 3x = (1 * 2 + x * 2) -7 + 3x = (2 + 2x) Solving -7 + 3x = 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. -7 + 3x + -2x = 2 + 2x + -2x Combine like terms: 3x + -2x = 1x -7 + 1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 1x = 2 + 0 -7 + 1x = 2 Add '7' to each side of the equation. -7 + 7 + 1x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 2 + 7 1x = 2 + 7 Combine like terms: 2 + 7 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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