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Simplifying 3(x + 1) + -8 = x + -7 Reorder the terms: 3(1 + x) + -8 = x + -7 (1 * 3 + x * 3) + -8 = x + -7 (3 + 3x) + -8 = x + -7 Reorder the terms: 3 + -8 + 3x = x + -7 Combine like terms: 3 + -8 = -5 -5 + 3x = x + -7 Reorder the terms: -5 + 3x = -7 + x Solving -5 + 3x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 3x + -1x = -7 + x + -1x Combine like terms: 3x + -1x = 2x -5 + 2x = -7 + x + -1x Combine like terms: x + -1x = 0 -5 + 2x = -7 + 0 -5 + 2x = -7 Add '5' to each side of the equation. -5 + 5 + 2x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -7 + 5 2x = -7 + 5 Combine like terms: -7 + 5 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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