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Simplifying -2(3x + 4) + -1x + 6 = -5x + -2 Reorder the terms: -2(4 + 3x) + -1x + 6 = -5x + -2 (4 * -2 + 3x * -2) + -1x + 6 = -5x + -2 (-8 + -6x) + -1x + 6 = -5x + -2 Reorder the terms: -8 + 6 + -6x + -1x = -5x + -2 Combine like terms: -8 + 6 = -2 -2 + -6x + -1x = -5x + -2 Combine like terms: -6x + -1x = -7x -2 + -7x = -5x + -2 Reorder the terms: -2 + -7x = -2 + -5x Add '2' to each side of the equation. -2 + 2 + -7x = -2 + 2 + -5x Combine like terms: -2 + 2 = 0 0 + -7x = -2 + 2 + -5x -7x = -2 + 2 + -5x Combine like terms: -2 + 2 = 0 -7x = 0 + -5x -7x = -5x Solving -7x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7x + 5x = -5x + 5x Combine like terms: -7x + 5x = -2x -2x = -5x + 5x Combine like terms: -5x + 5x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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