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Simplifying 3(x + 1) + -5 = 4x + 2 Reorder the terms: 3(1 + x) + -5 = 4x + 2 (1 * 3 + x * 3) + -5 = 4x + 2 (3 + 3x) + -5 = 4x + 2 Reorder the terms: 3 + -5 + 3x = 4x + 2 Combine like terms: 3 + -5 = -2 -2 + 3x = 4x + 2 Reorder the terms: -2 + 3x = 2 + 4x Solving -2 + 3x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 3x + -4x = 2 + 4x + -4x Combine like terms: 3x + -4x = -1x -2 + -1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -1x = 2 + 0 -2 + -1x = 2 Add '2' to each side of the equation. -2 + 2 + -1x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 2 + 2 -1x = 2 + 2 Combine like terms: 2 + 2 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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