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Simplifying -36 + -2x = 5x + -2(-3 + -7x) -36 + -2x = 5x + (-3 * -2 + -7x * -2) -36 + -2x = 5x + (6 + 14x) Reorder the terms: -36 + -2x = 6 + 5x + 14x Combine like terms: 5x + 14x = 19x -36 + -2x = 6 + 19x Solving -36 + -2x = 6 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -36 + -2x + -19x = 6 + 19x + -19x Combine like terms: -2x + -19x = -21x -36 + -21x = 6 + 19x + -19x Combine like terms: 19x + -19x = 0 -36 + -21x = 6 + 0 -36 + -21x = 6 Add '36' to each side of the equation. -36 + 36 + -21x = 6 + 36 Combine like terms: -36 + 36 = 0 0 + -21x = 6 + 36 -21x = 6 + 36 Combine like terms: 6 + 36 = 42 -21x = 42 Divide each side by '-21'. x = -2 Simplifying x = -2
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