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Simplifying 3x + -2x(x + -1) = -2x(x) + 7x + -12 Reorder the terms: 3x + -2x(-1 + x) = -2x(x) + 7x + -12 3x + (-1 * -2x + x * -2x) = -2x(x) + 7x + -12 3x + (2x + -2x2) = -2x(x) + 7x + -12 Combine like terms: 3x + 2x = 5x 5x + -2x2 = -2x(x) + 7x + -12 Multiply x * x 5x + -2x2 = -2x2 + 7x + -12 Reorder the terms: 5x + -2x2 = -12 + 7x + -2x2 Add '2x2' to each side of the equation. 5x + -2x2 + 2x2 = -12 + 7x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 5x + 0 = -12 + 7x + -2x2 + 2x2 5x = -12 + 7x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 5x = -12 + 7x + 0 5x = -12 + 7x Solving 5x = -12 + 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. 5x + -7x = -12 + 7x + -7x Combine like terms: 5x + -7x = -2x -2x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -2x = -12 + 0 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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