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