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Simplifying 3(x + -1) + 2 = 7x + 6 Reorder the terms: 3(-1 + x) + 2 = 7x + 6 (-1 * 3 + x * 3) + 2 = 7x + 6 (-3 + 3x) + 2 = 7x + 6 Reorder the terms: -3 + 2 + 3x = 7x + 6 Combine like terms: -3 + 2 = -1 -1 + 3x = 7x + 6 Reorder the terms: -1 + 3x = 6 + 7x Solving -1 + 3x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 3x + -7x = 6 + 7x + -7x Combine like terms: 3x + -7x = -4x -1 + -4x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -4x = 6 + 0 -1 + -4x = 6 Add '1' to each side of the equation. -1 + 1 + -4x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 6 + 1 -4x = 6 + 1 Combine like terms: 6 + 1 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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