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Simplifying x + -7 = 3(x + 1) + 2 Reorder the terms: -7 + x = 3(x + 1) + 2 Reorder the terms: -7 + x = 3(1 + x) + 2 -7 + x = (1 * 3 + x * 3) + 2 -7 + x = (3 + 3x) + 2 Reorder the terms: -7 + x = 3 + 2 + 3x Combine like terms: 3 + 2 = 5 -7 + x = 5 + 3x Solving -7 + x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + x + -3x = 5 + 3x + -3x Combine like terms: x + -3x = -2x -7 + -2x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -2x = 5 + 0 -7 + -2x = 5 Add '7' to each side of the equation. -7 + 7 + -2x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 5 + 7 -2x = 5 + 7 Combine like terms: 5 + 7 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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