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