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Simplifying 3(x + 1) + -8 = 14 + -6x + 8 Reorder the terms: 3(1 + x) + -8 = 14 + -6x + 8 (1 * 3 + x * 3) + -8 = 14 + -6x + 8 (3 + 3x) + -8 = 14 + -6x + 8 Reorder the terms: 3 + -8 + 3x = 14 + -6x + 8 Combine like terms: 3 + -8 = -5 -5 + 3x = 14 + -6x + 8 Reorder the terms: -5 + 3x = 14 + 8 + -6x Combine like terms: 14 + 8 = 22 -5 + 3x = 22 + -6x Solving -5 + 3x = 22 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + 3x + 6x = 22 + -6x + 6x Combine like terms: 3x + 6x = 9x -5 + 9x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 9x = 22 + 0 -5 + 9x = 22 Add '5' to each side of the equation. -5 + 5 + 9x = 22 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 22 + 5 9x = 22 + 5 Combine like terms: 22 + 5 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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