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