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Simplifying -2x + -1 + 2(-2x + -4) = 3x + 36 Reorder the terms: -2x + -1 + 2(-4 + -2x) = 3x + 36 -2x + -1 + (-4 * 2 + -2x * 2) = 3x + 36 -2x + -1 + (-8 + -4x) = 3x + 36 Reorder the terms: -1 + -8 + -2x + -4x = 3x + 36 Combine like terms: -1 + -8 = -9 -9 + -2x + -4x = 3x + 36 Combine like terms: -2x + -4x = -6x -9 + -6x = 3x + 36 Reorder the terms: -9 + -6x = 36 + 3x Solving -9 + -6x = 36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + -6x + -3x = 36 + 3x + -3x Combine like terms: -6x + -3x = -9x -9 + -9x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -9x = 36 + 0 -9 + -9x = 36 Add '9' to each side of the equation. -9 + 9 + -9x = 36 + 9 Combine like terms: -9 + 9 = 0 0 + -9x = 36 + 9 -9x = 36 + 9 Combine like terms: 36 + 9 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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