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Simplifying 12 + 4(x + -1) + (x + -2)(-2) = -1 Reorder the terms: 12 + 4(-1 + x) + (x + -2)(-2) = -1 12 + (-1 * 4 + x * 4) + (x + -2)(-2) = -1 12 + (-4 + 4x) + (x + -2)(-2) = -1 Reorder the terms: 12 + -4 + 4x + (-2 + x)(-2) = -1 Reorder the terms for easier multiplication: 12 + -4 + 4x + -2(-2 + x) = -1 12 + -4 + 4x + (-2 * -2 + x * -2) = -1 12 + -4 + 4x + (4 + -2x) = -1 Reorder the terms: 12 + -4 + 4 + 4x + -2x = -1 Combine like terms: 12 + -4 = 8 8 + 4 + 4x + -2x = -1 Combine like terms: 8 + 4 = 12 12 + 4x + -2x = -1 Combine like terms: 4x + -2x = 2x 12 + 2x = -1 Solving 12 + 2x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -1 + -12 2x = -1 + -12 Combine like terms: -1 + -12 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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