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Simplifying 3x + 2(x + -1) = 7(x + -2) Reorder the terms: 3x + 2(-1 + x) = 7(x + -2) 3x + (-1 * 2 + x * 2) = 7(x + -2) 3x + (-2 + 2x) = 7(x + -2) Reorder the terms: -2 + 3x + 2x = 7(x + -2) Combine like terms: 3x + 2x = 5x -2 + 5x = 7(x + -2) Reorder the terms: -2 + 5x = 7(-2 + x) -2 + 5x = (-2 * 7 + x * 7) -2 + 5x = (-14 + 7x) Solving -2 + 5x = -14 + 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. -2 + 5x + -7x = -14 + 7x + -7x Combine like terms: 5x + -7x = -2x -2 + -2x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -2x = -14 + 0 -2 + -2x = -14 Add '2' to each side of the equation. -2 + 2 + -2x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -14 + 2 -2x = -14 + 2 Combine like terms: -14 + 2 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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