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Simplifying 3(x + -5) + 1 = 2 + x Reorder the terms: 3(-5 + x) + 1 = 2 + x (-5 * 3 + x * 3) + 1 = 2 + x (-15 + 3x) + 1 = 2 + x Reorder the terms: -15 + 1 + 3x = 2 + x Combine like terms: -15 + 1 = -14 -14 + 3x = 2 + x Solving -14 + 3x = 2 + 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. -14 + 3x + -1x = 2 + x + -1x Combine like terms: 3x + -1x = 2x -14 + 2x = 2 + x + -1x Combine like terms: x + -1x = 0 -14 + 2x = 2 + 0 -14 + 2x = 2 Add '14' to each side of the equation. -14 + 14 + 2x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 2 + 14 2x = 2 + 14 Combine like terms: 2 + 14 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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