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Simplifying 3(x + 1) + -8 = 4x + -22 Reorder the terms: 3(1 + x) + -8 = 4x + -22 (1 * 3 + x * 3) + -8 = 4x + -22 (3 + 3x) + -8 = 4x + -22 Reorder the terms: 3 + -8 + 3x = 4x + -22 Combine like terms: 3 + -8 = -5 -5 + 3x = 4x + -22 Reorder the terms: -5 + 3x = -22 + 4x Solving -5 + 3x = -22 + 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. -5 + 3x + -4x = -22 + 4x + -4x Combine like terms: 3x + -4x = -1x -5 + -1x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -1x = -22 + 0 -5 + -1x = -22 Add '5' to each side of the equation. -5 + 5 + -1x = -22 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -22 + 5 -1x = -22 + 5 Combine like terms: -22 + 5 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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