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Simplifying 3(x + -2) + 1 = x + 7 Reorder the terms: 3(-2 + x) + 1 = x + 7 (-2 * 3 + x * 3) + 1 = x + 7 (-6 + 3x) + 1 = x + 7 Reorder the terms: -6 + 1 + 3x = x + 7 Combine like terms: -6 + 1 = -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 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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