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Simplifying 3(x + -1) + 2 = 5x + 6 Reorder the terms: 3(-1 + x) + 2 = 5x + 6 (-1 * 3 + x * 3) + 2 = 5x + 6 (-3 + 3x) + 2 = 5x + 6 Reorder the terms: -3 + 2 + 3x = 5x + 6 Combine like terms: -3 + 2 = -1 -1 + 3x = 5x + 6 Reorder the terms: -1 + 3x = 6 + 5x Solving -1 + 3x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 3x + -5x = 6 + 5x + -5x Combine like terms: 3x + -5x = -2x -1 + -2x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -2x = 6 + 0 -1 + -2x = 6 Add '1' to each side of the equation. -1 + 1 + -2x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 6 + 1 -2x = 6 + 1 Combine like terms: 6 + 1 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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